Question

What is the gcf of 54, 72 and 108

Answer 1

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{18}}}}}$

Step-by-step explanation:

The GCF of any numbers can be obtained by using two methods. They are :

• Prime factorization method
• Division method

Now, I am going to find out the GCF of 54 , 72 and 108 using these both methods :

Let's find out using the prime factorization method

First of all , find the prime factor of each numbers

54 = 2 × 3 × 3 × 3

72 = 2 × 2 × 2 × 3 × 3

108 = 2 × 2 × 3 × 3 × 3

Take out the common prime factors of given numbers

Common prime factors = 2 , 3 and 3

Multiply those common prime factors and the number obtained is G.C.F

GCF = Common prime factors

= 2 × 3 × 3

= 18

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Now,let's find out using another method i.e division method

Steps for finding G.C.F by using division method:

Step 1 : Divide the larger number by smaller one.

Step 2 : In case of remaining remainder, divide the first division by that remainder.

Step 3 : Again if remainder leaves, divide the second divisor by the remainder.

Step 4 : Repeat the process until the remainder becomes the zero. So , that the last divisor is the G.C.F

( See attached picture )

Hope I helped!

Best regards!!