Q.

The largest number which divides 615 and 963, leaving the remainder 6 is ________.

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a

67

b

78

c

87

d

80

answer is B.

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Detailed Solution

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The largest number, which divides 615 and 963, leaving the remainder 6 is 87.
Here, we have to find the largest number, which divides 615 and 963, leaving the number 6.
The required largest number is equal to the HCF of (615 - 6 = 609) and (963 - 6 = 957).
Therefore, we get,
Question Image 

Therefore, the largest number which divides 615 and 963, leaving the remainder 6, is 87.

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