GCD of 972, 491, 901, 320 Calculator

Given Input numbers are 972, 491, 901, 320

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

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 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 972, 491, 901, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 491, 901, 320 is 1.

Therefore, GCD of numbers 972, 491, 901, 320 is 1

Given Input Data is 972, 491, 901, 320

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

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

Prime Factorization of 491 is 491

Prime Factorization of 901 is 17 x 53

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 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(972, 491) = 477252

GCD(972, 491) = ( 972 x 491 ) / 477252

GCD(972, 491) = 477252 / 477252

GCD(972, 491) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 972, 491, 901, 320 is 1

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1. What is the GCD of 972, 491, 901, 320?

GCD of 972, 491, 901, 320 is 1

2. Where do I get the detailed procedure to find GCD of 972, 491, 901, 320?

You can find a detailed procedure to find GCD of 972, 491, 901, 320 on our page.

3. How to find GCD of 972, 491, 901, 320 on a calculator?

You can find the GCD of 972, 491, 901, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.