GCD of 987, 252, 113 Calculator

Given Input numbers are 987, 252, 113

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 987, 252, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 252, 113 is 1.

Therefore, GCD of numbers 987, 252, 113 is 1

Given Input Data is 987, 252, 113

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 113 is 113

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(987, 252) = 11844

GCD(987, 252) = ( 987 x 252 ) / 11844

GCD(987, 252) = 248724 / 11844

GCD(987, 252) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 113

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(21, 113) = 2373

GCD(21, 113) = ( 21 x 113 ) / 2373

GCD(21, 113) = 2373 / 2373

GCD(21, 113) = 1

GCD of 987, 252, 113 is 1

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1. What is the GCD of 987, 252, 113?

GCD of 987, 252, 113 is 1

2. Where do I get the detailed procedure to find GCD of 987, 252, 113?

You can find a detailed procedure to find GCD of 987, 252, 113 on our page.

3. How to find GCD of 987, 252, 113 on a calculator?

You can find the GCD of 987, 252, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.