SSC GD 2023 PYQ — Question 44

SSC GD Constable (English) - 1 Feb 2023 - Shift 2 • Quantitative Aptitude • Q44

The highest common factor and the least common multiple of 432, 648, and 576 are _______________ and ______________, respectively.

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 72, 5184.

The given values are 432, 648, and 576

The factors of these values

⇒ 432 = 24 × 33

⇒ 648 = 23 × 34

⇒ 576 = 26 × 32

Hence, the highest common factor = 23 × 32 = 8 × 9 = 72

and the least common factor = 26 × 34 = 64 × 81 = 5184