GCD of 972, 460, 147, 620 Calculator

Given Input numbers are 972, 460, 147, 620

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Greatest Common Divisior

We found the divisors of 972, 460, 147, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 460, 147, 620 is 1.

Therefore, GCD of numbers 972, 460, 147, 620 is 1

Given Input Data is 972, 460, 147, 620

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 460 is 2 x 2 x 5 x 23

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 620 is 2 x 2 x 5 x 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(972, 460) = 111780

GCD(972, 460) = ( 972 x 460 ) / 111780

GCD(972, 460) = 447120 / 111780

GCD(972, 460) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 147

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

LCM(4, 147) = 588

GCD(4, 147) = ( 4 x 147 ) / 588

GCD(4, 147) = 588 / 588

GCD(4, 147) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 620

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

LCM(1, 620) = 620

GCD(1, 620) = ( 1 x 620 ) / 620

GCD(1, 620) = 620 / 620

GCD(1, 620) = 1

GCD of 972, 460, 147, 620 is 1

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1. What is the GCD of 972, 460, 147, 620?

GCD of 972, 460, 147, 620 is 1

2. Where do I get the detailed procedure to find GCD of 972, 460, 147, 620?

You can find a detailed procedure to find GCD of 972, 460, 147, 620 on our page.

3. How to find GCD of 972, 460, 147, 620 on a calculator?

You can find the GCD of 972, 460, 147, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.