Why we need the HCF to find squares fitting a rectangle

[size=200]You may want to use the tools below to find the HCF or LCM[/size]
HCF & LCM of Two Numbers by Prime Factorization
[size=150][url=https://www.geogebra.org/m/Ciaukiwm]https://www.geogebra.org/m/Ciaukiwm[/url] [size=150][url=https://www.geogebra.org/u/alexchik]by Alex Chik[/url][/size] [/size]
HCF & LCM of Two Numbers by Short Division
[size=150]ht[url=https://www.geogebra.org/m/BKxeO3At]tps://www.geogebra.org/m/BKxeO3At[/url] [size=150][url=https://www.geogebra.org/u/alexchik]by Alex Chik[/url][/size] [/size]
– Lew W. S.

Information: Why we need the HCF to find squares fitting a rectangle