The HCF and LCM of two numbers are 21 and 4641 respectively. If one of the numbers lies in between 200 and 300, then the two numbers are:

273, 357

HCF = 21

LCM = 4641

Concept used:

Product of the numbers = LCM × HCF

Calculation:

LCM × HCF = 21 × 4641

Let the numbers = 21a and 21b

So, according to the concept,

21a × 21b = 21 × 4641

ab = 441 = 13 × 17

so, a = 13 and b = 13 or vice versa.

Two numbers are =  21 × 13, 21 × 17

= 273, 357