Question

What is the HCF of 108,72,84

Answer 1

Hi there !!

You can find HCF by various methods like

• Prime factorisation
• Euclid's Division lemma

H.C.F of 108,72,84

108=2²×3³

72=2³×3²

84=2²×3×7

Lowest power = 2²×3

H.C.F =12

Thankyou :)

Answer 2

Answer:-

HCF=highest common factor

HCF of 108,72,84

$108 = 2 {}^{2} \times 3 {}^{2} \\ 72 = 2 {}^{3} \times 3 {}^{2} \\ 84 = 2 {}^{2} \times 3 \times 7 \\ = 2 {}^{3} \times 3$

Therefore, HCF

$= 12$

The other two methods of HCF are

• prime factorization method
• Euclid's Decision Lemma method