GCD of 378, 718, 519 Calculator

Given Input numbers are 378, 718, 519

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

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

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Greatest Common Divisior

We found the divisors of 378, 718, 519 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 718, 519 is 1.

Therefore, GCD of numbers 378, 718, 519 is 1

Given Input Data is 378, 718, 519

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

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 519 is 3 x 173

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(378, 718) = 135702

GCD(378, 718) = ( 378 x 718 ) / 135702

GCD(378, 718) = 271404 / 135702

GCD(378, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 519

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

LCM(2, 519) = 1038

GCD(2, 519) = ( 2 x 519 ) / 1038

GCD(2, 519) = 1038 / 1038

GCD(2, 519) = 1

GCD of 378, 718, 519 is 1

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• GCD of 740, 127, 412
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1. What is the GCD of 378, 718, 519?

GCD of 378, 718, 519 is 1

2. Where do I get the detailed procedure to find GCD of 378, 718, 519?

You can find a detailed procedure to find GCD of 378, 718, 519 on our page.

3. How to find GCD of 378, 718, 519 on a calculator?

You can find the GCD of 378, 718, 519 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.