Question : The sides of a triangular field are 62 m, 186 m, and 279 m. Find the greatest length of tape that would be able to exactly measure each of them without any fractions.
Option 1: 62 m
Option 2: 93 m
Option 3: 31 m
Option 4: 30 m
Correct Answer: 31 m
Solution :
The greatest length of tape that would be able to exactly measure each side of the triangular field without any fractions is the highest common factor (HCF) of the lengths of the sides.
Now, 62 = 31 × 2, 186 = 31 × 2 × 3 and 279 = 31 × 3 × 3
So, the HCF of 62, 186, and 279 is 31.
Hence, the correct answer is 31 m.
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