GCD of 25, 52, 76, 31 Calculator

Given Input numbers are 25, 52, 76, 31

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

Divisors of 25

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

1, 5, 25

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Greatest Common Divisior

We found the divisors of 25, 52, 76, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 52, 76, 31 is 1.

Therefore, GCD of numbers 25, 52, 76, 31 is 1

Given Input Data is 25, 52, 76, 31

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 31 is 31

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(25, 52) = 1300

GCD(25, 52) = ( 25 x 52 ) / 1300

GCD(25, 52) = 1300 / 1300

GCD(25, 52) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

GCD of 25, 52, 76, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 95, 28, 66
• GCD of 82, 84, 85, 33
• GCD of 20, 46, 56, 66
• GCD of 51, 86, 88, 93
• GCD of 34, 25, 48, 71

1. What is the GCD of 25, 52, 76, 31?

GCD of 25, 52, 76, 31 is 1

2. Where do I get the detailed procedure to find GCD of 25, 52, 76, 31?

You can find a detailed procedure to find GCD of 25, 52, 76, 31 on our page.

3. How to find GCD of 25, 52, 76, 31 on a calculator?

You can find the GCD of 25, 52, 76, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.