Question
Two tankers contain 850 litres and 680 litres of petrol respectively. Find the maximum capacity of a measuring vessel that can be used to exactly measure the petrol from either tankers with no petrol remaining.
Answer: Option B
:
B
Maximum capacity of the measuring vessel = HCF (850, 680)
We use Euclid's division algorithm to find the HCF of 850 and 680.
850 = 680 × 1 + 170
680 = 170 × 4 + 0
∴HCF (850, 680) = 170
So, the maximum capacity of the measuring vessel required is 170 litres.
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:
B
Maximum capacity of the measuring vessel = HCF (850, 680)
We use Euclid's division algorithm to find the HCF of 850 and 680.
850 = 680 × 1 + 170
680 = 170 × 4 + 0
∴HCF (850, 680) = 170
So, the maximum capacity of the measuring vessel required is 170 litres.
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