GCD of 696, 312, 379, 424 Calculator

Given Input numbers are 696, 312, 379, 424

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 379

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

1, 379

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 696, 312, 379, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 312, 379, 424 is 1.

Therefore, GCD of numbers 696, 312, 379, 424 is 1

Given Input Data is 696, 312, 379, 424

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 379 is 379

Prime Factorization of 424 is 2 x 2 x 2 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(696, 312) = 9048

GCD(696, 312) = ( 696 x 312 ) / 9048

GCD(696, 312) = 217152 / 9048

GCD(696, 312) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 379

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

LCM(24, 379) = 9096

GCD(24, 379) = ( 24 x 379 ) / 9096

GCD(24, 379) = 9096 / 9096

GCD(24, 379) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

GCD of 696, 312, 379, 424 is 1

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1. What is the GCD of 696, 312, 379, 424?

GCD of 696, 312, 379, 424 is 1

2. Where do I get the detailed procedure to find GCD of 696, 312, 379, 424?

You can find a detailed procedure to find GCD of 696, 312, 379, 424 on our page.

3. How to find GCD of 696, 312, 379, 424 on a calculator?

You can find the GCD of 696, 312, 379, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.