Find the HCF of following by prime factorization and continue to generate 40, 56, 72
Answers
Answer:
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Step-by-step explanation:
Lets go stepwise,
Step 1:Factorize all the numbers.
48=2 x 2 x 2 x 2 x 3
56=2 x 2 x 2 x 7
72=2 x 2 x 2 x 3 x 3
Step 2: In factorization, treat each number as an individual and take the number common to all the factorizations done.
From the factorization of the three numbers, we have 2 common but as we are treating each number individually, we have 2 common 3 times i.e. we have three 2s common.
Step 3: Multiply all the common numbers to calculate the HCF.
In this case we have,
HCF=2 x 2 x 2=8
NOTE:
HCF(Highest Common Factor) is also known as GCD(Greatest Common Divisor).
If none of the numbers are common the HCF is 1.
To cross check if your answer is right, your answer should be such that, it should be the biggest number by which every number for which HCF is obtained is