GCD of 579, 507, 378 Calculator

Given Input numbers are 579, 507, 378

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

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 507

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

1, 3, 13, 39, 169, 507

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 579, 507, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 579, 507, 378 is 3.

Therefore, GCD of numbers 579, 507, 378 is 3

Given Input Data is 579, 507, 378

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

Prime Factorization of 579 is 3 x 193

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(579, 507) = 97851

GCD(579, 507) = ( 579 x 507 ) / 97851

GCD(579, 507) = 293553 / 97851

GCD(579, 507) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 378

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

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

GCD(3, 378) = 1134 / 378

GCD(3, 378) = 3

GCD of 579, 507, 378 is 3

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1. What is the GCD of 579, 507, 378?

GCD of 579, 507, 378 is 3

2. Where do I get the detailed procedure to find GCD of 579, 507, 378?

You can find a detailed procedure to find GCD of 579, 507, 378 on our page.

3. How to find GCD of 579, 507, 378 on a calculator?

You can find the GCD of 579, 507, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.