GCD of 279, 359, 407, 400 Calculator

Given Input numbers are 279, 359, 407, 400

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

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 359

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

1, 359

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

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 279, 359, 407, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 359, 407, 400 is 1.

Therefore, GCD of numbers 279, 359, 407, 400 is 1

Given Input Data is 279, 359, 407, 400

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

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 359 is 359

Prime Factorization of 407 is 11 x 37

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(279, 359) = 100161

GCD(279, 359) = ( 279 x 359 ) / 100161

GCD(279, 359) = 100161 / 100161

GCD(279, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

Step3:

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 279, 359, 407, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 336, 376, 914
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• GCD of 771, 881, 165, 298

1. What is the GCD of 279, 359, 407, 400?

GCD of 279, 359, 407, 400 is 1

2. Where do I get the detailed procedure to find GCD of 279, 359, 407, 400?

You can find a detailed procedure to find GCD of 279, 359, 407, 400 on our page.

3. How to find GCD of 279, 359, 407, 400 on a calculator?

You can find the GCD of 279, 359, 407, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.