GCD of 279, 702, 75, 362 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 279, 702, 75, 362 i.e. 1 largest integer that divides all the numbers equally.

GCD of 279, 702, 75, 362 is 1

GCD(279, 702, 75, 362) = 1

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

GCD of

GCD of numbers 279, 702, 75, 362 is 1

GCD(279, 702, 75, 362) = 1

GCD of 279,702,75,362 Calculator

GCDof 279,702,75,362 is 1

Given Input numbers are 279, 702, 75, 362

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

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 279, 702, 75, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 702, 75, 362 is 1.

Therefore, GCD of numbers 279, 702, 75, 362 is 1

Finding GCD of 279, 702, 75, 362 using Prime Factorization

Given Input Data is 279, 702, 75, 362

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

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 362 is 2 x 181

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

Finding GCD of 279, 702, 75, 362 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(279, 702) = 21762

GCD(279, 702) = ( 279 x 702 ) / 21762

GCD(279, 702) = 195858 / 21762

GCD(279, 702) = 9


Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 75

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

LCM(9, 75) = 225

GCD(9, 75) = ( 9 x 75 ) / 225

GCD(9, 75) = 675 / 225

GCD(9, 75) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 362

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

LCM(3, 362) = 1086

GCD(3, 362) = ( 3 x 362 ) / 1086

GCD(3, 362) = 1086 / 1086

GCD(3, 362) = 1

GCD of 279, 702, 75, 362 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 279, 702, 75, 362

1. What is the GCD of 279, 702, 75, 362?

GCD of 279, 702, 75, 362 is 1


2. Where do I get the detailed procedure to find GCD of 279, 702, 75, 362?

You can find a detailed procedure to find GCD of 279, 702, 75, 362 on our page.


3. How to find GCD of 279, 702, 75, 362 on a calculator?

You can find the GCD of 279, 702, 75, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.