GCD of 379, 724, 584, 684 Calculator

Given Input numbers are 379, 724, 584, 684

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

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 379, 724, 584, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 379, 724, 584, 684 is 1.

Therefore, GCD of numbers 379, 724, 584, 684 is 1

Given Input Data is 379, 724, 584, 684

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

Prime Factorization of 379 is 379

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(379, 724) = 274396

GCD(379, 724) = ( 379 x 724 ) / 274396

GCD(379, 724) = 274396 / 274396

GCD(379, 724) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 379, 724, 584, 684 is 1

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1. What is the GCD of 379, 724, 584, 684?

GCD of 379, 724, 584, 684 is 1

2. Where do I get the detailed procedure to find GCD of 379, 724, 584, 684?

You can find a detailed procedure to find GCD of 379, 724, 584, 684 on our page.

3. How to find GCD of 379, 724, 584, 684 on a calculator?

You can find the GCD of 379, 724, 584, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.