SSC MTS 2024 PYQ — Question 20

SSC MTS - 21/10/2024 - (12:30 PM - 2:30 PM) • Quantitative Aptitude • Q20

Find the HCF of 576, 324 and 360

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e 36.

Prime factorization

576 = 2⁶ × 3²

324 = 2² × 3⁴

360 = 2³ × 3² × 5

Common prime factors: 2 and 3

Lowest power of 2: 2²

Lowest power of 3: 3²

HCF = 2² × 3² = 4 × 9 = 36