what is the greatest number which divides 615 and 963 leaving remainder 6 in each case.
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To find the greatest number which divides 615 and 963 leaving remainder 6 in each case, we have to take HCF.
Let the HCF be x
In order to make the HCF divisible by 615 and 963 we must deduct 6 from both the numbers.
Therefore, 615 - 6 = 609, 963 - 957
609 = 3 x 3 x 29
957= 3 x 11 x 29
⇒ x = 3 x 29 = 87
∴ largest number which divides 615 and 963 leaving remainder 6 in each case is 87
To find the greatest number which divides 615 and 963 leaving remainder 6 in each case, we have to take HCF.
Let the HCF be x
In order to make the HCF divisible by 615 and 963 we must deduct 6 from both the numbers.
Therefore, 615 - 6 = 609, 963 - 957
609 = 3 x 3 x 29
957= 3 x 11 x 29
⇒ x = 3 x 29 = 87
∴ largest number which divides 615 and 963 leaving remainder 6 in each case is 87
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