Question

Find the greatest number that can divide 11,296 and 13,528 leaving remainders 11 and 23 respectively.

Answer 1

Answer:

13528

Step-by-step explanation:

First of all we have to subtract the respective remainders from the dividend.

So, we will get 11285 and 13505.

Now we have to calculate the HCF of these two numbers:

11285=5×37×61

13505=5×37×73

LCM=5×37×61=185.

You can verify it as well: 185 x 61 + 11 = 11296 and 185 x 73 + 23 = 13528.

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