GCD of 971, 500, 748, 360 Calculator

Given Input numbers are 971, 500, 748, 360

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

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 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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 971, 500, 748, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 500, 748, 360 is 1.

Therefore, GCD of numbers 971, 500, 748, 360 is 1

Given Input Data is 971, 500, 748, 360

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

Prime Factorization of 971 is 971

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

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(971, 500) = 485500

GCD(971, 500) = ( 971 x 500 ) / 485500

GCD(971, 500) = 485500 / 485500

GCD(971, 500) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 971, 500, 748, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 566, 503, 372
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• GCD of 501, 646, 116, 392

1. What is the GCD of 971, 500, 748, 360?

GCD of 971, 500, 748, 360 is 1

2. Where do I get the detailed procedure to find GCD of 971, 500, 748, 360?

You can find a detailed procedure to find GCD of 971, 500, 748, 360 on our page.

3. How to find GCD of 971, 500, 748, 360 on a calculator?

You can find the GCD of 971, 500, 748, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.