GCD of 552, 400, 979, 664 Calculator

Given Input numbers are 552, 400, 979, 664

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 552, 400, 979, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 400, 979, 664 is 1.

Therefore, GCD of numbers 552, 400, 979, 664 is 1

Given Input Data is 552, 400, 979, 664

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 979 is 11 x 89

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(552, 400) = 27600

GCD(552, 400) = ( 552 x 400 ) / 27600

GCD(552, 400) = 220800 / 27600

GCD(552, 400) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 979

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

LCM(8, 979) = 7832

GCD(8, 979) = ( 8 x 979 ) / 7832

GCD(8, 979) = 7832 / 7832

GCD(8, 979) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 552, 400, 979, 664 is 1

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1. What is the GCD of 552, 400, 979, 664?

GCD of 552, 400, 979, 664 is 1

2. Where do I get the detailed procedure to find GCD of 552, 400, 979, 664?

You can find a detailed procedure to find GCD of 552, 400, 979, 664 on our page.

3. How to find GCD of 552, 400, 979, 664 on a calculator?

You can find the GCD of 552, 400, 979, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.