Question

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

46, 51

Answer 1

2	46
23	23
	1

 

3	51
17	17
	1

46 = 2 × 23 × 1

51 = 3 × 17 × 1

∴ HCF of 46 and 51 = 1

LCM of 46 and 51 = 2 × 23 × 3 × 17

= 2346

Product of two numbers = 46 × 51

= 2346

Product of HCF and LCM = 1 × 2346

= 2346
Product of the given numbers = 46 × 51
= 2346