GCD of 976, 359, 21, 556 Calculator

Given Input numbers are 976, 359, 21, 556

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 976, 359, 21, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 359, 21, 556 is 1.

Therefore, GCD of numbers 976, 359, 21, 556 is 1

Given Input Data is 976, 359, 21, 556

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 359 is 359

Prime Factorization of 21 is 3 x 7

Prime Factorization of 556 is 2 x 2 x 139

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(976, 359) = 350384

GCD(976, 359) = ( 976 x 359 ) / 350384

GCD(976, 359) = 350384 / 350384

GCD(976, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

GCD of 976, 359, 21, 556 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 404, 902, 75, 864
• GCD of 890, 554, 43, 269
• GCD of 121, 397, 69, 107
• GCD of 325, 241, 38, 826
• GCD of 439, 388, 67, 592

1. What is the GCD of 976, 359, 21, 556?

GCD of 976, 359, 21, 556 is 1

2. Where do I get the detailed procedure to find GCD of 976, 359, 21, 556?

You can find a detailed procedure to find GCD of 976, 359, 21, 556 on our page.

3. How to find GCD of 976, 359, 21, 556 on a calculator?

You can find the GCD of 976, 359, 21, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.