Problems on HCF

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Problems on HCF

Common Multiple: Defined as number which is exactly divisible by each of the numbers under consideration. Example 4 is a common factor of 8, 12, 16, 20, 24

Highest Common Multiple(HCF): HCF of two or more numbers is the greatest number that divides each of them exactly.

Method of Prime Factors

Break the given numbers into prime factors and find the product of common prime factors, product will be HCF.

Find the HCF of 42 and 70

Solution

42=2*3*7,   70=2*5*7 So HCF will be 2*7 =14
Find the HCF of 24, 45, 60
Solution-  24 = 2*2*2*3  45= 3*3*5  60= 2*2*3*5   
So HCF of 24, 45 and 60 is 3

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