Bézout's identity

en

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Bézout's identity

Quality:

Bézout's identity - formula relating two numbers and their greatest common divisor. Article "Bézout's identity" in English Wikipedia has 24.9 points for quality (as of July 1, 2025). The article contains 5 references and 11 sections.

This article has the best quality in Estonian Wikipedia. However, this article is the most popular in English version.

Since the creation of article "Bézout's identity", its content was written by 130 registered users of English Wikipedia and edited by 613 registered Wikipedia users in all languages.

The article is cited 83 times in English Wikipedia and cited 827 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #1862 in January 2002
  • Global: #2172 in January 2002

The highest popularity rank from 2008:

  • Local (English): #103523 in October 2024
  • Global: #76121 in April 2015

There are 34 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1Estonian (et)
Bézout' lemma
55.0151
2Russian (ru)
Соотношение Безу
34.8595
3Uzbek (uz)
Bezout nisbati
32.4693
4English (en)
Bézout's identity
24.8501
5Hebrew (he)
הלמה של בזו
23.1741
6Indonesian (id)
Identitas Bézout
23.0319
7Chinese (zh)
貝祖等式
21.7751
8Galician (gl)
Identidade de Bézout
20.9751
9French (fr)
Théorème de Bachet-Bézout
20.3552
10Hungarian (hu)
Bézout-lemma
20.0887
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Bézout's identity" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Bézout's identity
1 259 014
2French (fr)
Théorème de Bachet-Bézout
395 730
3Spanish (es)
Identidad de Bézout
181 279
4German (de)
Lemma von Bézout
156 589
5Russian (ru)
Соотношение Безу
146 853
6Chinese (zh)
貝祖等式
140 402
7Italian (it)
Identità di Bézout
106 292
8Japanese (ja)
ベズーの等式
77 477
9Portuguese (pt)
Identidade de Bézout
54 485
10Serbo-Croatian (sh)
Bezuov stav
42 826
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Bézout's identity" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Bézout's identity
7 273
2French (fr)
Théorème de Bachet-Bézout
1 380
3Chinese (zh)
貝祖等式
754
4Japanese (ja)
ベズーの等式
652
5Spanish (es)
Identidad de Bézout
563
6Russian (ru)
Соотношение Безу
501
7German (de)
Lemma von Bézout
488
8Italian (it)
Identità di Bézout
388
9Vietnamese (vi)
Bổ đề Bézout
212
10Portuguese (pt)
Identidade de Bézout
200
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Bézout's identity" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Bézout's identity
130
2French (fr)
Théorème de Bachet-Bézout
88
3German (de)
Lemma von Bézout
48
4Italian (it)
Identità di Bézout
40
5Dutch (nl)
Stelling van Bachet-Bézout
30
6Spanish (es)
Identidad de Bézout
29
7Chinese (zh)
貝祖等式
28
8Arabic (ar)
متطابقة بيزو
20
9Persian (fa)
قضیه بزو
20
10Russian (ru)
Соотношение Безу
18
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Bézout's identity" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Hebrew (he)
הלמה של בזו
4
2Arabic (ar)
متطابقة بيزو
0
3Catalan (ca)
Identitat de Bézout
0
4Czech (cs)
Bézoutova rovnost
0
5German (de)
Lemma von Bézout
0
6Greek (el)
Ταυτότητα του Μπεζού
0
7English (en)
Bézout's identity
0
8Esperanto (eo)
Idento de Bézout
0
9Spanish (es)
Identidad de Bézout
0
10Estonian (et)
Bézout' lemma
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Bézout's identity" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Identità di Bézout
228
2English (en)
Bézout's identity
83
3French (fr)
Théorème de Bachet-Bézout
80
4Polish (pl)
Tożsamość Bézouta
73
5Japanese (ja)
ベズーの等式
39
6Catalan (ca)
Identitat de Bézout
31
7Chinese (zh)
貝祖等式
30
8Spanish (es)
Identidad de Bézout
28
9Russian (ru)
Соотношение Безу
23
10Galician (gl)
Identidade de Bézout
19
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
متطابقة بيزو
caCatalan
Identitat de Bézout
csCzech
Bézoutova rovnost
deGerman
Lemma von Bézout
elGreek
Ταυτότητα του Μπεζού
enEnglish
Bézout's identity
eoEsperanto
Idento de Bézout
esSpanish
Identidad de Bézout
etEstonian
Bézout' lemma
euBasque
Bézouten identitate
faPersian
قضیه بزو
fiFinnish
Bézout’n lemma
frFrench
Théorème de Bachet-Bézout
glGalician
Identidade de Bézout
heHebrew
הלמה של בזו
hrCroatian
Bézoutova lema
huHungarian
Bézout-lemma
idIndonesian
Identitas Bézout
itItalian
Identità di Bézout
jaJapanese
ベズーの等式
koKorean
베주 항등식
nlDutch
Stelling van Bachet-Bézout
plPolish
Tożsamość Bézouta
ptPortuguese
Identidade de Bézout
roRomanian
Identitatea lui Bézout
ruRussian
Соотношение Безу
shSerbo-Croatian
Bezuov stav
srSerbian
Безуов став
svSwedish
Bézouts identitet
thThai
เอกลักษณ์ของเบซู
ukUkrainian
Рівняння Безу
uzUzbek
Bezout nisbati
viVietnamese
Bổ đề Bézout
zhChinese
貝祖等式

Popularity rank trends

Best Rank English:
#103523
10.2024
Global:
#76121
04.2015

AI rank trends

Best Rank English:
#1862
01.2002
Global:
#2172
01.2002

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Bézout's identity from Wikipedia articles about Diophantine equation, Extended Euclidean algorithm, Euclidean algorithm, Chinese remainder theorem and Euclids lemma. Whereas reading the article about Bézout's identity people most often go to Wikipedia articles on Extended Euclidean algorithm, Étienne Bézout, Euclids lemma, Chinese remainder theorem and Bézouts theorem.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 12 August 2025

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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information