The greatest number that can exactly divide 1560 and 2040 is X. What is the value of 121 - X?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 1.
Given that,
The greatest number that can exactly divide 1560 and 2040 is X
The greatest number = HCF of (1560, 2040)
The prime factors
⇒ 1560 = 23 × 3 × 5 × 13
⇒ 2040 = 23 × 3 × 5 × 17
So, HCF = 23 × 3 × 5 = 120
⇒ X = 120
Hence,
The required number = (121 - 120) = 1