GCD of 500, 972, 113, 464 Calculator

Given Input numbers are 500, 972, 113, 464

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 500, 972, 113, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 972, 113, 464 is 1.

Therefore, GCD of numbers 500, 972, 113, 464 is 1

Given Input Data is 500, 972, 113, 464

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 113 is 113

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(500, 972) = 121500

GCD(500, 972) = ( 500 x 972 ) / 121500

GCD(500, 972) = 486000 / 121500

GCD(500, 972) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 113

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

LCM(4, 113) = 452

GCD(4, 113) = ( 4 x 113 ) / 452

GCD(4, 113) = 452 / 452

GCD(4, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

GCD of 500, 972, 113, 464 is 1

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• GCD of 997, 232, 345, 251
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1. What is the GCD of 500, 972, 113, 464?

GCD of 500, 972, 113, 464 is 1

2. Where do I get the detailed procedure to find GCD of 500, 972, 113, 464?

You can find a detailed procedure to find GCD of 500, 972, 113, 464 on our page.

3. How to find GCD of 500, 972, 113, 464 on a calculator?

You can find the GCD of 500, 972, 113, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.