GCD of 57, 456, 679, 795 Calculator

Given Input numbers are 57, 456, 679, 795

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

Divisors of 57

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

1, 3, 19, 57

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Greatest Common Divisior

We found the divisors of 57, 456, 679, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 456, 679, 795 is 1.

Therefore, GCD of numbers 57, 456, 679, 795 is 1

Given Input Data is 57, 456, 679, 795

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 679 is 7 x 97

Prime Factorization of 795 is 3 x 5 x 53

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(57, 456) = 456

GCD(57, 456) = ( 57 x 456 ) / 456

GCD(57, 456) = 25992 / 456

GCD(57, 456) = 57

Step2:

Here we consider the GCD from the above i.e. 57 as first number and the next as 679

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

LCM(57, 679) = 38703

GCD(57, 679) = ( 57 x 679 ) / 38703

GCD(57, 679) = 38703 / 38703

GCD(57, 679) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 795

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

LCM(1, 795) = 795

GCD(1, 795) = ( 1 x 795 ) / 795

GCD(1, 795) = 795 / 795

GCD(1, 795) = 1

GCD of 57, 456, 679, 795 is 1

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1. What is the GCD of 57, 456, 679, 795?

GCD of 57, 456, 679, 795 is 1

2. Where do I get the detailed procedure to find GCD of 57, 456, 679, 795?

You can find a detailed procedure to find GCD of 57, 456, 679, 795 on our page.

3. How to find GCD of 57, 456, 679, 795 on a calculator?

You can find the GCD of 57, 456, 679, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.