Question

find the greatest number which divides 11217 and 159491 leaving remainder 11 in each case​

Answer 1

Answer:

Step-by-step explanation:

Our question is: find the greatest number which divides 11217 and 159491 leaving remainder 11 in each case​

Our numbers are 11217 and 159491, and our aim is to check which number divides them, and as 11 as a remainder for each.

Hence, the first thing we should do is subtract 11 from both the numbers that is:

11217 - 11 = 11206

15949 - 11 = 15938

Thus, our updated numbers are 11206 and 15938.

Now we have that 11206 can be written as 2 * 13 * 431 and 15938 = 2 * 2 * 3 * 3 * 443.

This way it is evident that they both have factor 2 in common.

I hope this helps your studies!!

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Answer 2

First we need to subtract 11 from both the numbers

11217 - 11 = 11206

15949 - 11 = 15938

We need to calculate the HCF of both the numbers.

11206 = 2 × 13 × 431

15938 = 2 × 2 × 3 × 3 × 443

Hence,The common factor in them is 2

Hope it helps!

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