GCD of 631, 260, 25, 748 Calculator

Given Input numbers are 631, 260, 25, 748

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

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 631, 260, 25, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 631, 260, 25, 748 is 1.

Therefore, GCD of numbers 631, 260, 25, 748 is 1

Given Input Data is 631, 260, 25, 748

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

Prime Factorization of 631 is 631

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 25 is 5 x 5

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(631, 260) = 164060

GCD(631, 260) = ( 631 x 260 ) / 164060

GCD(631, 260) = 164060 / 164060

GCD(631, 260) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 631, 260, 25, 748 is 1

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1. What is the GCD of 631, 260, 25, 748?

GCD of 631, 260, 25, 748 is 1

2. Where do I get the detailed procedure to find GCD of 631, 260, 25, 748?

You can find a detailed procedure to find GCD of 631, 260, 25, 748 on our page.

3. How to find GCD of 631, 260, 25, 748 on a calculator?

You can find the GCD of 631, 260, 25, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.