Find the HCF of the cube of 16 and the square of 48.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 256.
Cube of 16 = (16)3 = 4096
Square of 48 = (48)2 = 2304
Factors of
⇒ 4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2
⇒ 2304 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3
Hence,
H.C.F = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 256