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GCD of 564, 834, 555 Calculator

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


Online GCD Calculator is useful to find the GCD of 564, 834, 555 quickly. Get the easiest ways to solve the greatest common divisor of 564, 834, 555 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 564, 834, 555 with Factoring?

Given Input numbers are 564, 834, 555

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

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

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 555 :

The positive integer divisors of 555 that completely divides 555 are.

1, 3, 5, 15, 37, 111, 185, 555


GCD of numbers is the greatest common divisor

So, the GCD (564, 834, 555) = 3.

Find GCD of 564, 834, 555 using Prime Factorization

Given numbers are 564, 834, 555

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 834 are 2 x 3 x 139

Prime factors of 555 are 3 x 5 x 37

The highest common occurrence is 31

Therefore, GCD of 564, 834, 555 is 3.

Steps to Calculate GCD of 564, 834, 555 using LCM Formula

Given numbers are 564, 834, 555

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

Apply this formula for all numbers.

Step1:

LCM(564, 834) = 78396

GCD(564, 834) = ( 564 x 834 ) / 78396

= 564 / 834

= 564


Step2:

LCM(6, 555) = 1110

GCD(6, 555) = ( 6 x 555 ) / 1110

= 6 / 555

= 6


So, Greatest Common Divisor of 564, 834, 555 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 564, 834, 555

Given numbers are 564, 834, 555
The greatest common divisor of numbers 564, 834, 555 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 834, 555 is 3.

FAQs on GCD of 564, 834, 555 Calculator

1. What is the GCD of 564, 834, 555?

GCD of given numbers 564, 834, 555 is 3


2. How to calculate the greatest common divisor of 564, 834, 555?

We can find the highest common divisor of 564, 834, 555 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 564, 834, 555 i.e 3.


3. How can I use the GCD of 564, 834, 555Calculator?

Out the numbers 564, 834, 555 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.