What is the HCF of 24, 36& 48?
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Answered by
4
it's HCF is 12 the highest factor
the factor of 24 are 12 and 2
the factor of 36 are 12 and 3
the factor of 48 are 12 and 2 and 2
hence 12 is highest factor common
the factor of 24 are 12 and 2
the factor of 36 are 12 and 3
the factor of 48 are 12 and 2 and 2
hence 12 is highest factor common
Answered by
15
Step1:- find prime factors of 24, 36, 48 .
e.g. Prime factors of 24 = 1× 2 × 2 × 2 × 3
Prime factors of 36 = 1 × 2 × 2 × 3 × 3
Prime factors of 48 = 1 × 2 × 2 × 2 × 2 × 3
Step2 :- find common factors .
e.g. Common factors = 1 × 2 × 2 × 3 = 12
we know, HCF is the highest common factors
Or HCF { 24, 36, 48} = common factors{24, 36, 48} = 12
Hence, HCF of 24, 36, 48 = 12
e.g. Prime factors of 24 = 1× 2 × 2 × 2 × 3
Prime factors of 36 = 1 × 2 × 2 × 3 × 3
Prime factors of 48 = 1 × 2 × 2 × 2 × 2 × 3
Step2 :- find common factors .
e.g. Common factors = 1 × 2 × 2 × 3 = 12
we know, HCF is the highest common factors
Or HCF { 24, 36, 48} = common factors{24, 36, 48} = 12
Hence, HCF of 24, 36, 48 = 12
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