find the HCF of 10/72,5/12,20/36,1/4
Answers
Step-by-step explanation:
Find the prime factorization of 10
10 = 2 × 5
Find the prime factorization of 72
72 = 2 × 2 × 2 × 3 × 3
To find the gcf, multiply all the prime factors common to both numbers:
Therefore, GCF = 2
We will now calculate the prime factors of 5 and 12, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5 and 12.
GCF(5,12) = 1
Greatest Common Factor of 20 and 36. Greatest common factor (GCF) of 20 and 36 is 4. We will now calculate the prime factors of 20 and 36, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20 and 36.
4 = 1*2*2. 7 = 1*7. 8 = 1*2*2*2. Their HCF is 1, as is to be expected since 7 is prime.
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