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GCD of 586, 132, 664 Calculator

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


Online GCD Calculator is useful to find the GCD of 586, 132, 664 quickly. Get the easiest ways to solve the greatest common divisor of 586, 132, 664 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 586, 132, 664 with Factoring?

Given Input numbers are 586, 132, 664

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

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664


GCD of numbers is the greatest common divisor

So, the GCD (586, 132, 664) = 2.

Find GCD of 586, 132, 664 using Prime Factorization

Given numbers are 586, 132, 664

The list of prime factors of all numbers are

Prime factors of 586 are 2 x 293

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 664 are 2 x 2 x 2 x 83

The highest common occurrence is 21

Therefore, GCD of 586, 132, 664 is 2.

Steps to Calculate GCD of 586, 132, 664 using LCM Formula

Given numbers are 586, 132, 664

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

Apply this formula for all numbers.

Step1:

LCM(586, 132) = 38676

GCD(586, 132) = ( 586 x 132 ) / 38676

= 586 / 132

= 586


Step2:

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

= 2 / 664

= 2


So, Greatest Common Divisor of 586, 132, 664 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 586, 132, 664

Given numbers are 586, 132, 664
The greatest common divisor of numbers 586, 132, 664 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 586, 132, 664 is 2.

FAQs on GCD of 586, 132, 664 Calculator

1. What is the GCD of 586, 132, 664?

GCD of given numbers 586, 132, 664 is 2


2. How to calculate the greatest common divisor of 586, 132, 664?

We can find the highest common divisor of 586, 132, 664 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 586, 132, 664 i.e 2.


3. How can I use the GCD of 586, 132, 664Calculator?

Out the numbers 586, 132, 664 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.