Question : Find the largest number which completely divides 24, 56, and 96.
Option 1: 4
Option 2: 1
Option 3: 8
Option 4: 2
Correct Answer: 8
Solution :
24 = 2 × 2 × 2 × 3
56 = 2 × 2 × 2 × 7
96 = 2 × 2 × 2 × 2 × 2 × 3
The largest number which completely divides 24, 56, and 96
= HCF of 24, 56, and 96
= 2 × 2 × 2
= 8
Hence, the correct answer is 8.
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