GCD of 256, 558, 89, 972 Calculator

Given Input numbers are 256, 558, 89, 972

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

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 89

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

1, 89

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

Greatest Common Divisior

We found the divisors of 256, 558, 89, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 558, 89, 972 is 1.

Therefore, GCD of numbers 256, 558, 89, 972 is 1

Given Input Data is 256, 558, 89, 972

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

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 89 is 89

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

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(256, 558) = 71424

GCD(256, 558) = ( 256 x 558 ) / 71424

GCD(256, 558) = 142848 / 71424

GCD(256, 558) = 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 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 256, 558, 89, 972 is 1

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• GCD of 596, 914, 30, 851

1. What is the GCD of 256, 558, 89, 972?

GCD of 256, 558, 89, 972 is 1

2. Where do I get the detailed procedure to find GCD of 256, 558, 89, 972?

You can find a detailed procedure to find GCD of 256, 558, 89, 972 on our page.

3. How to find GCD of 256, 558, 89, 972 on a calculator?

You can find the GCD of 256, 558, 89, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.