GCD of 564, 689, 379 Calculator

Given Input numbers are 564, 689, 379

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 379

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

1, 379

Greatest Common Divisior

We found the divisors of 564, 689, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 689, 379 is 1.

Therefore, GCD of numbers 564, 689, 379 is 1

Given Input Data is 564, 689, 379

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 689 is 13 x 53

Prime Factorization of 379 is 379

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(564, 689) = 388596

GCD(564, 689) = ( 564 x 689 ) / 388596

GCD(564, 689) = 388596 / 388596

GCD(564, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 379

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

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

GCD(1, 379) = 379 / 379

GCD(1, 379) = 1

GCD of 564, 689, 379 is 1

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1. What is the GCD of 564, 689, 379?

GCD of 564, 689, 379 is 1

2. Where do I get the detailed procedure to find GCD of 564, 689, 379?

You can find a detailed procedure to find GCD of 564, 689, 379 on our page.

3. How to find GCD of 564, 689, 379 on a calculator?

You can find the GCD of 564, 689, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.