Answer:
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 :
<u>Let's </u><u>find </u><u>out </u><u>using </u><u>the </u><u>prime </u><u>factorization</u><u> </u><u>method</u>
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 = <u>Common </u><u>prime </u><u>factors</u>
= 2 × 3 × 3
= 18
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<u>Now,</u><u>let's </u><u>find </u><u>out </u><u>using </u><u>another </u><u>method </u><u>i.e </u><u>division </u><u>method</u>
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!!
