Question

4. Find the HCF and LCM of the following pairs of numbers. Also, show that the product of the HCF and
LCM is the same as the product of the given pair of numbers.
(a) 13,52
(b)21,27
(c)120,35
please answer step by step no useless answer​

Answer 1

Answer:

(a)HCF: 13 LCM: 52 (b)HCF: 3 LCM: 63 (c)HCF: 5 LCM:840

Step-by-step explanation:

(a)HCF: 13 LCM: 52

First Find Factors:

13: 1, 13.

52: 1, 52, 2, 26, 4, 13

HCF: 13

To find LCM we will find the Prime Factors for both then multiply them.

13: 13

52: 2, 2, 13

SO 2 x 2 x 13 = 52

LCM = 52

Now same thing for others:

(b)HCF: 3 LCM: 63

21: 1, 21, 3, 7

27: 1, 27, 3, 9,

21: 3, 7

27: 3, 3, 3

SO: 3 x 3 x 7 = 63

(c)HCF: 5 LCM:840

120: 1, 120, 2, 60, 3, 40, 4, 30, 5, 34, 6, 20, 8, 15, 10, 12

35: 1, 35, 5, 7

HCF: 5

120: 2, 2, 3, 2, 5

35: 7, 5

SO: 2 x 2 x 3 x 2 x 5 x 7 = 840