GCD of 979, 423, 400 Calculator

Given Input numbers are 979, 423, 400

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

Divisors of 979

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

1, 11, 89, 979

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

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

Greatest Common Divisior

We found the divisors of 979, 423, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 979, 423, 400 is 1.

Therefore, GCD of numbers 979, 423, 400 is 1

Given Input Data is 979, 423, 400

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

Prime Factorization of 979 is 11 x 89

Prime Factorization of 423 is 3 x 3 x 47

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

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(979, 423) = 414117

GCD(979, 423) = ( 979 x 423 ) / 414117

GCD(979, 423) = 414117 / 414117

GCD(979, 423) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 979, 423, 400 is 1

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1. What is the GCD of 979, 423, 400?

GCD of 979, 423, 400 is 1

2. Where do I get the detailed procedure to find GCD of 979, 423, 400?

You can find a detailed procedure to find GCD of 979, 423, 400 on our page.

3. How to find GCD of 979, 423, 400 on a calculator?

You can find the GCD of 979, 423, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.