Find the sum of the digits of the greatest number that can exactly divide 288 and 432.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 9.
Given that,
The greatest number that can exactly divide 288 and 432
The greatest number is HCF of (288, 432)
The prime factorization of 288 and 432
⇒ 288 = 25 × 32
⇒ 432 = 24 × 33
HCF is = 24 × 32 = 16 × 9 = 144
Hence, the sum of this number = 1 + 4 + 4 = 9