GCD of 657, 925, 140, 596 Calculator

Given Input numbers are 657, 925, 140, 596

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 657, 925, 140, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 925, 140, 596 is 1.

Therefore, GCD of numbers 657, 925, 140, 596 is 1

Given Input Data is 657, 925, 140, 596

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 596 is 2 x 2 x 149

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(657, 925) = 607725

GCD(657, 925) = ( 657 x 925 ) / 607725

GCD(657, 925) = 607725 / 607725

GCD(657, 925) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

GCD of 657, 925, 140, 596 is 1

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1. What is the GCD of 657, 925, 140, 596?

GCD of 657, 925, 140, 596 is 1

2. Where do I get the detailed procedure to find GCD of 657, 925, 140, 596?

You can find a detailed procedure to find GCD of 657, 925, 140, 596 on our page.

3. How to find GCD of 657, 925, 140, 596 on a calculator?

You can find the GCD of 657, 925, 140, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.