GCD of 972, 478, 89, 133 Calculator

Given Input numbers are 972, 478, 89, 133

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 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 972, 478, 89, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 478, 89, 133 is 1.

Therefore, GCD of numbers 972, 478, 89, 133 is 1

Given Input Data is 972, 478, 89, 133

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 478 is 2 x 239

Prime Factorization of 89 is 89

Prime Factorization of 133 is 7 x 19

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, 478) = 232308

GCD(972, 478) = ( 972 x 478 ) / 232308

GCD(972, 478) = 464616 / 232308

GCD(972, 478) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 972, 478, 89, 133 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 889, 302, 67, 897
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• GCD of 168, 600, 39, 554
• GCD of 662, 325, 17, 590
• GCD of 148, 616, 45, 424

1. What is the GCD of 972, 478, 89, 133?

GCD of 972, 478, 89, 133 is 1

2. Where do I get the detailed procedure to find GCD of 972, 478, 89, 133?

You can find a detailed procedure to find GCD of 972, 478, 89, 133 on our page.

3. How to find GCD of 972, 478, 89, 133 on a calculator?

You can find the GCD of 972, 478, 89, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.