GCD of 725, 667, 940, 137 Calculator

Given Input numbers are 725, 667, 940, 137

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

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 725, 667, 940, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 667, 940, 137 is 1.

Therefore, GCD of numbers 725, 667, 940, 137 is 1

Given Input Data is 725, 667, 940, 137

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 667 is 23 x 29

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 137 is 137

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(725, 667) = 16675

GCD(725, 667) = ( 725 x 667 ) / 16675

GCD(725, 667) = 483575 / 16675

GCD(725, 667) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 940

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

LCM(29, 940) = 27260

GCD(29, 940) = ( 29 x 940 ) / 27260

GCD(29, 940) = 27260 / 27260

GCD(29, 940) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 137

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

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

GCD(1, 137) = 137 / 137

GCD(1, 137) = 1

GCD of 725, 667, 940, 137 is 1

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1. What is the GCD of 725, 667, 940, 137?

GCD of 725, 667, 940, 137 is 1

2. Where do I get the detailed procedure to find GCD of 725, 667, 940, 137?

You can find a detailed procedure to find GCD of 725, 667, 940, 137 on our page.

3. How to find GCD of 725, 667, 940, 137 on a calculator?

You can find the GCD of 725, 667, 940, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.