GCD of 507, 719, 57, 664 Calculator

Given Input numbers are 507, 719, 57, 664

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 57

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

1, 3, 19, 57

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 507, 719, 57, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 719, 57, 664 is 1.

Therefore, GCD of numbers 507, 719, 57, 664 is 1

Given Input Data is 507, 719, 57, 664

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 719 is 719

Prime Factorization of 57 is 3 x 19

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(507, 719) = 364533

GCD(507, 719) = ( 507 x 719 ) / 364533

GCD(507, 719) = 364533 / 364533

GCD(507, 719) = 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 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 507, 719, 57, 664 is 1

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1. What is the GCD of 507, 719, 57, 664?

GCD of 507, 719, 57, 664 is 1

2. Where do I get the detailed procedure to find GCD of 507, 719, 57, 664?

You can find a detailed procedure to find GCD of 507, 719, 57, 664 on our page.

3. How to find GCD of 507, 719, 57, 664 on a calculator?

You can find the GCD of 507, 719, 57, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.