find the largest number which divides 615 and 963 leaving remainder 6 in each case
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Answer:
87
Step-by-step explanation:
let the divisor be X
615/X & 963/X
615 - 6 = 609 & 963 - 6 = 957 -{ Dividend - remainder}
LCM of 609 = 3, 7, 29, 87
and 957 = 3, 11, 29, 33, 87
we can see that LCM of 609 & 957 has largest common factor that is 87
The required is the HCF of the following:
615 - 6 = 609 & 963 - 6 = 957
HCF (609, 957) = 87
Therefore the largest number is 87.
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