Question

Find the HCF of the following pair of numbers by prime factorisation:
a)42 and 60
b) 36 and 54
c)48 and 60
d)75 and 90

Answer 1

Answer:

42=2.3.7

60=2.2.3

HCF=2.3=6 ans

Answer 2

Answer:

a)HCF of 42 and 60

Final Step: Biggest Common Factor Number

The biggest common factor number is the GCF number. So the greatest common factor 42 and 60 is 6.

b)We will now calculate the prime factors of 36 and 54, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36 and 54.

c) 15

d ) Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75 and 90. The biggest common factor number is the GCF number. So the greatest common factor 75 and 90 is 15.

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