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GCD of 680, 564, 322 Calculator

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


Online GCD Calculator is useful to find the GCD of 680, 564, 322 quickly. Get the easiest ways to solve the greatest common divisor of 680, 564, 322 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 680, 564, 322 with Factoring?

Given Input numbers are 680, 564, 322

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322


GCD of numbers is the greatest common divisor

So, the GCD (680, 564, 322) = 2.

Find GCD of 680, 564, 322 using Prime Factorization

Given numbers are 680, 564, 322

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

Prime factors of 322 are 2 x 7 x 23

The highest common occurrence is 21

Therefore, GCD of 680, 564, 322 is 2.

Steps to Calculate GCD of 680, 564, 322 using LCM Formula

Given numbers are 680, 564, 322

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

Apply this formula for all numbers.

Step1:

LCM(680, 564) = 95880

GCD(680, 564) = ( 680 x 564 ) / 95880

= 680 / 564

= 680


Step2:

LCM(4, 322) = 644

GCD(4, 322) = ( 4 x 322 ) / 644

= 4 / 322

= 4


So, Greatest Common Divisor of 680, 564, 322 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 680, 564, 322

Given numbers are 680, 564, 322
The greatest common divisor of numbers 680, 564, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 564, 322 is 2.

FAQs on GCD of 680, 564, 322 Calculator

1. What is the GCD of 680, 564, 322?

GCD of given numbers 680, 564, 322 is 2


2. How to calculate the greatest common divisor of 680, 564, 322?

We can find the highest common divisor of 680, 564, 322 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 680, 564, 322 i.e 2.


3. How can I use the GCD of 680, 564, 322Calculator?

Out the numbers 680, 564, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.