GCD of 125, 261, 973, 636 Calculator

Given Input numbers are 125, 261, 973, 636

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 973

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

1, 7, 139, 973

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 125, 261, 973, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 261, 973, 636 is 1.

Therefore, GCD of numbers 125, 261, 973, 636 is 1

Given Input Data is 125, 261, 973, 636

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 973 is 7 x 139

Prime Factorization of 636 is 2 x 2 x 3 x 53

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(125, 261) = 32625

GCD(125, 261) = ( 125 x 261 ) / 32625

GCD(125, 261) = 32625 / 32625

GCD(125, 261) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 636

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

LCM(1, 636) = 636

GCD(1, 636) = ( 1 x 636 ) / 636

GCD(1, 636) = 636 / 636

GCD(1, 636) = 1

GCD of 125, 261, 973, 636 is 1

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1. What is the GCD of 125, 261, 973, 636?

GCD of 125, 261, 973, 636 is 1

2. Where do I get the detailed procedure to find GCD of 125, 261, 973, 636?

You can find a detailed procedure to find GCD of 125, 261, 973, 636 on our page.

3. How to find GCD of 125, 261, 973, 636 on a calculator?

You can find the GCD of 125, 261, 973, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.