GCD of 472, 591, 25, 974 Calculator

Given Input numbers are 472, 591, 25, 974

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 25

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

1, 5, 25

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 472, 591, 25, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 591, 25, 974 is 1.

Therefore, GCD of numbers 472, 591, 25, 974 is 1

Given Input Data is 472, 591, 25, 974

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 591 is 3 x 197

Prime Factorization of 25 is 5 x 5

Prime Factorization of 974 is 2 x 487

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(472, 591) = 278952

GCD(472, 591) = ( 472 x 591 ) / 278952

GCD(472, 591) = 278952 / 278952

GCD(472, 591) = 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 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 472, 591, 25, 974 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 167, 78, 948
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• GCD of 737, 538, 94, 539

1. What is the GCD of 472, 591, 25, 974?

GCD of 472, 591, 25, 974 is 1

2. Where do I get the detailed procedure to find GCD of 472, 591, 25, 974?

You can find a detailed procedure to find GCD of 472, 591, 25, 974 on our page.

3. How to find GCD of 472, 591, 25, 974 on a calculator?

You can find the GCD of 472, 591, 25, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.