GCD of 657, 667, 366, 664 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 657, 667, 366, 664 i.e. 1 largest integer that divides all the numbers equally.

GCD of 657, 667, 366, 664 is 1

GCD(657, 667, 366, 664) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 657, 667, 366, 664 is 1

GCD(657, 667, 366, 664) = 1

GCD of 657,667,366,664 Calculator

GCDof 657,667,366,664 is 1

Given Input numbers are 657, 667, 366, 664

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

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

Greatest Common Divisior

We found the divisors of 657, 667, 366, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 667, 366, 664 is 1.

Therefore, GCD of numbers 657, 667, 366, 664 is 1

Finding GCD of 657, 667, 366, 664 using Prime Factorization

Given Input Data is 657, 667, 366, 664

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 667 is 23 x 29

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 664 is 2 x 2 x 2 x 83

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 657, 667, 366, 664 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(657, 667) = 438219

GCD(657, 667) = ( 657 x 667 ) / 438219

GCD(657, 667) = 438219 / 438219

GCD(657, 667) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 657, 667, 366, 664 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 657, 667, 366, 664

1. What is the GCD of 657, 667, 366, 664?

GCD of 657, 667, 366, 664 is 1


2. Where do I get the detailed procedure to find GCD of 657, 667, 366, 664?

You can find a detailed procedure to find GCD of 657, 667, 366, 664 on our page.


3. How to find GCD of 657, 667, 366, 664 on a calculator?

You can find the GCD of 657, 667, 366, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.