GCD of 252, 991, 744, 138 Calculator

Given Input numbers are 252, 991, 744, 138

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

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 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 252, 991, 744, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 991, 744, 138 is 1.

Therefore, GCD of numbers 252, 991, 744, 138 is 1

Given Input Data is 252, 991, 744, 138

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

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

Prime Factorization of 991 is 991

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 138 is 2 x 3 x 23

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(252, 991) = 249732

GCD(252, 991) = ( 252 x 991 ) / 249732

GCD(252, 991) = 249732 / 249732

GCD(252, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 252, 991, 744, 138 is 1

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1. What is the GCD of 252, 991, 744, 138?

GCD of 252, 991, 744, 138 is 1

2. Where do I get the detailed procedure to find GCD of 252, 991, 744, 138?

You can find a detailed procedure to find GCD of 252, 991, 744, 138 on our page.

3. How to find GCD of 252, 991, 744, 138 on a calculator?

You can find the GCD of 252, 991, 744, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.