Khalil Jones

2023-03-12

What is the Gcf of 81 and 27?

Kobe Gentry

Beginner2023-03-13Added 2 answers

This method uses only $\text{subtraction}$ to find the GCF.

$\u2022\phantom{\rule{1ex}{0ex}}\text{subtract smaller number from larger number}$

$\u2022\phantom{\rule{1ex}{0ex}}\text{Repeat this until a common value is obtained}$

$\u2022\phantom{\rule{1ex}{0ex}}\text{The common value is the GCF}$

$\phantom{\rule{1ex}{0ex}}\text{The starting numbers are 81 and 27}$

$\Rightarrow 81-27=54\to \phantom{\rule{1ex}{0ex}}\text{numbers are now 54 and 27}$

$\Rightarrow 54-27=27\to \phantom{\rule{1ex}{0ex}}\text{numbers are now 27 and 27}$

$\phantom{\rule{1ex}{0ex}}\text{common value of 27 reached}$

$\phantom{\rule{1ex}{0ex}}\text{Hence GCF = 27}$

$\u2022\phantom{\rule{1ex}{0ex}}\text{subtract smaller number from larger number}$

$\u2022\phantom{\rule{1ex}{0ex}}\text{Repeat this until a common value is obtained}$

$\u2022\phantom{\rule{1ex}{0ex}}\text{The common value is the GCF}$

$\phantom{\rule{1ex}{0ex}}\text{The starting numbers are 81 and 27}$

$\Rightarrow 81-27=54\to \phantom{\rule{1ex}{0ex}}\text{numbers are now 54 and 27}$

$\Rightarrow 54-27=27\to \phantom{\rule{1ex}{0ex}}\text{numbers are now 27 and 27}$

$\phantom{\rule{1ex}{0ex}}\text{common value of 27 reached}$

$\phantom{\rule{1ex}{0ex}}\text{Hence GCF = 27}$