Question

find the HCF and LCM of a and b for the numbers a =25×37×52×7 and b = 23×32×56×11​

Answer 1

Answer:

HCF= 28

LCM= 68,14,80,800

Step-by-step explanation:  We have to only write the number in the multiple of their prime factors

25= 5 x 5

37= 1 x 37

52= 2 x 2 x 13

7= 1 x 7

=>  25 x 37 x 52 x 7=  2 x 2 x 5 x 5 x 7 x 13 x 37

23= 1 x 23

32= 2 x 2 x 2 x 2 x 2

56= 2 x 2 x 2 x 7

11= 1 x 11

=> 23 x 32 x 56 x 11= 2 x 2 x 2 x 2 x 2 x 7 x 11 x 23

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HCF = 2 x 2 x 7= 28

LCM= 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 11 x 13 x 23 x 37 = 68,14,80,800