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GCD of 718, 564, 82 Calculator

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


Online GCD Calculator is useful to find the GCD of 718, 564, 82 quickly. Get the easiest ways to solve the greatest common divisor of 718, 564, 82 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 718, 564, 82 with Factoring?

Given Input numbers are 718, 564, 82

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

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

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 82 :

The positive integer divisors of 82 that completely divides 82 are.

1, 2, 41, 82


GCD of numbers is the greatest common divisor

So, the GCD (718, 564, 82) = 2.

Find GCD of 718, 564, 82 using Prime Factorization

Given numbers are 718, 564, 82

The list of prime factors of all numbers are

Prime factors of 718 are 2 x 359

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

Prime factors of 82 are 2 x 41

The highest common occurrence is 21

Therefore, GCD of 718, 564, 82 is 2.

Steps to Calculate GCD of 718, 564, 82 using LCM Formula

Given numbers are 718, 564, 82

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

Apply this formula for all numbers.

Step1:

LCM(718, 564) = 202476

GCD(718, 564) = ( 718 x 564 ) / 202476

= 718 / 564

= 718


Step2:

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

= 2 / 82

= 2


So, Greatest Common Divisor of 718, 564, 82 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 718, 564, 82

Given numbers are 718, 564, 82
The greatest common divisor of numbers 718, 564, 82 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 718, 564, 82 is 2.

FAQs on GCD of 718, 564, 82 Calculator

1. What is the GCD of 718, 564, 82?

GCD of given numbers 718, 564, 82 is 2


2. How to calculate the greatest common divisor of 718, 564, 82?

We can find the highest common divisor of 718, 564, 82 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 718, 564, 82 i.e 2.


3. How can I use the GCD of 718, 564, 82Calculator?

Out the numbers 718, 564, 82 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.