Question

Find the HCF and LCM of the numbers given below. Verify that their product is equal to the product of the given numbers.

78, 104

Answer 1

2	78
3	39
13	13
	1

 

2	104
2	52
2	26
13	13
	1

78 = 2 × 3 × 13

104 = 2 × 2 × 2 × 13

∴ HCF = 2 × 13

= 26

LCM = 2 × 13 × 3 × 2 × 2

= 26 × 12

= 312

Product of two numbers = 78 × 104

= 8112

Product of HCF and LCM = 26 × 312

= 8112