GCD of 475, 667, 722, 118 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 475, 667, 722, 118 i.e. 1 largest integer that divides all the numbers equally.

GCD of 475, 667, 722, 118 is 1

GCD(475, 667, 722, 118) = 1

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

GCD of

GCD of numbers 475, 667, 722, 118 is 1

GCD(475, 667, 722, 118) = 1

GCD of 475,667,722,118 Calculator

GCDof 475,667,722,118 is 1

Given Input numbers are 475, 667, 722, 118

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 667

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

1, 23, 29, 667

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 475, 667, 722, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 667, 722, 118 is 1.

Therefore, GCD of numbers 475, 667, 722, 118 is 1

Finding GCD of 475, 667, 722, 118 using Prime Factorization

Given Input Data is 475, 667, 722, 118

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 667 is 23 x 29

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 118 is 2 x 59

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

Finding GCD of 475, 667, 722, 118 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(475, 667) = 316825

GCD(475, 667) = ( 475 x 667 ) / 316825

GCD(475, 667) = 316825 / 316825

GCD(475, 667) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 475, 667, 722, 118 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 475, 667, 722, 118

1. What is the GCD of 475, 667, 722, 118?

GCD of 475, 667, 722, 118 is 1


2. Where do I get the detailed procedure to find GCD of 475, 667, 722, 118?

You can find a detailed procedure to find GCD of 475, 667, 722, 118 on our page.


3. How to find GCD of 475, 667, 722, 118 on a calculator?

You can find the GCD of 475, 667, 722, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.