GCD of 279, 608, 57, 804 Calculator

Given Input numbers are 279, 608, 57, 804

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 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 279, 608, 57, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 608, 57, 804 is 1.

Therefore, GCD of numbers 279, 608, 57, 804 is 1

Given Input Data is 279, 608, 57, 804

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 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 57 is 3 x 19

Prime Factorization of 804 is 2 x 2 x 3 x 67

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, 608) = 169632

GCD(279, 608) = ( 279 x 608 ) / 169632

GCD(279, 608) = 169632 / 169632

GCD(279, 608) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 804

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

LCM(1, 804) = 804

GCD(1, 804) = ( 1 x 804 ) / 804

GCD(1, 804) = 804 / 804

GCD(1, 804) = 1

GCD of 279, 608, 57, 804 is 1

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1. What is the GCD of 279, 608, 57, 804?

GCD of 279, 608, 57, 804 is 1

2. Where do I get the detailed procedure to find GCD of 279, 608, 57, 804?

You can find a detailed procedure to find GCD of 279, 608, 57, 804 on our page.

3. How to find GCD of 279, 608, 57, 804 on a calculator?

You can find the GCD of 279, 608, 57, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.