GCD of 279, 210, 640, 476 Calculator

Given Input numbers are 279, 210, 640, 476

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 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 279, 210, 640, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 210, 640, 476 is 1.

Therefore, GCD of numbers 279, 210, 640, 476 is 1

Given Input Data is 279, 210, 640, 476

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 210 is 2 x 3 x 5 x 7

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 476 is 2 x 2 x 7 x 17

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, 210) = 19530

GCD(279, 210) = ( 279 x 210 ) / 19530

GCD(279, 210) = 58590 / 19530

GCD(279, 210) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 640

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

LCM(3, 640) = 1920

GCD(3, 640) = ( 3 x 640 ) / 1920

GCD(3, 640) = 1920 / 1920

GCD(3, 640) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 476

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

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

GCD(1, 476) = 476 / 476

GCD(1, 476) = 1

GCD of 279, 210, 640, 476 is 1

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1. What is the GCD of 279, 210, 640, 476?

GCD of 279, 210, 640, 476 is 1

2. Where do I get the detailed procedure to find GCD of 279, 210, 640, 476?

You can find a detailed procedure to find GCD of 279, 210, 640, 476 on our page.

3. How to find GCD of 279, 210, 640, 476 on a calculator?

You can find the GCD of 279, 210, 640, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.