Question

2. Find the greatest number which divides 2002 and 2618 exactly.​

Answer 1

Answer:

divide both the the number by 154 and I think that is the HCF

Answer 2

Answer:

The greatest number obtained here is 154.  

Solution:

Let the greatest number to find be a.

When 2011 is divided by a, remainder left = 9.

Thus, (2011-9) is divisible by a.

Hence, 2002 is divisible by a.

And, When 2623 is divided by a, remainder left = 5.

Thus, (2623-5) is divisible by a.

Therefore, 2618 is divisible by a.

Now to find a, we need to find out the "Highest Common Factor" or "H.C.F." of "2002 and 2618".

So, "H.C.F." of "2002 and 2618" is 154.

Hence, the greatest number is 154.

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