GCD of 973, 825, 113, 138 Calculator

Given Input numbers are 973, 825, 113, 138

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

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 113

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

1, 113

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 973, 825, 113, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 825, 113, 138 is 1.

Therefore, GCD of numbers 973, 825, 113, 138 is 1

Given Input Data is 973, 825, 113, 138

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

Prime Factorization of 973 is 7 x 139

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 113 is 113

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(973, 825) = 802725

GCD(973, 825) = ( 973 x 825 ) / 802725

GCD(973, 825) = 802725 / 802725

GCD(973, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 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 973, 825, 113, 138 is 1

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1. What is the GCD of 973, 825, 113, 138?

GCD of 973, 825, 113, 138 is 1

2. Where do I get the detailed procedure to find GCD of 973, 825, 113, 138?

You can find a detailed procedure to find GCD of 973, 825, 113, 138 on our page.

3. How to find GCD of 973, 825, 113, 138 on a calculator?

You can find the GCD of 973, 825, 113, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.