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:
Answer & explanation
Correct answer: option 4
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