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GCD of 664, 640, 580, 422 Calculator

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


Online GCD Calculator is useful to find the GCD of 664, 640, 580, 422 quickly. Get the easiest ways to solve the greatest common divisor of 664, 640, 580, 422 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 664, 640, 580, 422 with Factoring?

Given Input numbers are 664, 640, 580, 422

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

Divisors of 664 :

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

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

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422


GCD of numbers is the greatest common divisor

So, the GCD (664, 640, 580, 422) = 2.

Find GCD of 664, 640, 580, 422 using Prime Factorization

Given numbers are 664, 640, 580, 422

The list of prime factors of all numbers are

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

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 422 are 2 x 211

The highest common occurrence is 21

Therefore, GCD of 664, 640, 580, 422 is 2.

Steps to Calculate GCD of 664, 640, 580, 422 using LCM Formula

Given numbers are 664, 640, 580, 422

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

Apply this formula for all numbers.

Step1:

LCM(664, 640) = 53120

GCD(664, 640) = ( 664 x 640 ) / 53120

= 664 / 640

= 664


Step2:

LCM(8, 580) = 1160

GCD(8, 580) = ( 8 x 580 ) / 1160

= 8 / 580

= 8


Step3:

LCM(4, 422) = 844

GCD(4, 422) = ( 4 x 422 ) / 844

= 4 / 422

= 4


So, Greatest Common Divisor of 664, 640, 580, 422 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 664, 640, 580, 422

Given numbers are 664, 640, 580, 422
The greatest common divisor of numbers 664, 640, 580, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 640, 580, 422 is 2.

FAQs on GCD of 664, 640, 580, 422 Calculator

1. What is the GCD of 664, 640, 580, 422?

GCD of given numbers 664, 640, 580, 422 is 2


2. How to calculate the greatest common divisor of 664, 640, 580, 422?

We can find the highest common divisor of 664, 640, 580, 422 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 664, 640, 580, 422 i.e 2.


3. How can I use the GCD of 664, 640, 580, 422Calculator?

Out the numbers 664, 640, 580, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.