Where do I get the detailed procedure to find GCD of 559, 364, 572?

You can find a detailed procedure to find GCD of 559, 364, 572 on our page.

How to find GCD of 559, 364, 572 on a calculator?

You can find the GCD of 559, 364, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 559, 364, 572 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 559, 364, 572 quickly. Get the easiest ways to solve the greatest common divisor of 559, 364, 572 i.e 13 in different methods as follows.

How to Find GCD of Numbers 559, 364, 572 with Factoring?

Given Input numbers are 559, 364, 572

In the factoring method, we have to find the divisors of all numbers

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

GCD of numbers is the greatest common divisor

So, the GCD (559, 364, 572) = 13.

Find GCD of 559, 364, 572 using Prime Factorization

Given numbers are 559, 364, 572

The list of prime factors of all numbers are

Prime factors of 559 are 13 x 43

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 572 are 2 x 2 x 11 x 13

The highest common occurrence is 13¹

Therefore, GCD of 559, 364, 572 is 13.

Steps to Calculate GCD of 559, 364, 572 using LCM Formula

Given numbers are 559, 364, 572

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(559, 364) = 15652

GCD(559, 364) = ( 559 x 364 ) / 15652

= 559 / 364

= 559

Step2:

LCM(13, 572) = 572

GCD(13, 572) = ( 13 x 572 ) / 572

= 13 / 572

= 13

So, Greatest Common Divisor of 559, 364, 572 is 13

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 559, 364, 572

Given numbers are 559, 364, 572
The greatest common divisor of numbers 559, 364, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 559, 364, 572 is 13.

FAQs on GCD of 559, 364, 572 Calculator

1. What is the GCD of 559, 364, 572?

GCD of given numbers 559, 364, 572 is 13

2. How to calculate the greatest common divisor of 559, 364, 572?

We can find the highest common divisor of 559, 364, 572 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 559, 364, 572 i.e 13.

3. How can I use the GCD of 559, 364, 572Calculator?

Out the numbers 559, 364, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.