GCD of 679, 252, 359, 899 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 679, 252, 359, 899 i.e. 1 largest integer that divides all the numbers equally.

GCD of 679, 252, 359, 899 is 1

GCD(679, 252, 359, 899) = 1

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

GCD of

GCD of numbers 679, 252, 359, 899 is 1

GCD(679, 252, 359, 899) = 1

GCD of 679,252,359,899 Calculator

GCDof 679,252,359,899 is 1

Given Input numbers are 679, 252, 359, 899

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

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 679, 252, 359, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 679, 252, 359, 899 is 1.

Therefore, GCD of numbers 679, 252, 359, 899 is 1

Finding GCD of 679, 252, 359, 899 using Prime Factorization

Given Input Data is 679, 252, 359, 899

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

Prime Factorization of 679 is 7 x 97

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 359 is 359

Prime Factorization of 899 is 29 x 31

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

Finding GCD of 679, 252, 359, 899 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(679, 252) = 24444

GCD(679, 252) = ( 679 x 252 ) / 24444

GCD(679, 252) = 171108 / 24444

GCD(679, 252) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 359

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

LCM(7, 359) = 2513

GCD(7, 359) = ( 7 x 359 ) / 2513

GCD(7, 359) = 2513 / 2513

GCD(7, 359) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 679, 252, 359, 899 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 679, 252, 359, 899

1. What is the GCD of 679, 252, 359, 899?

GCD of 679, 252, 359, 899 is 1


2. Where do I get the detailed procedure to find GCD of 679, 252, 359, 899?

You can find a detailed procedure to find GCD of 679, 252, 359, 899 on our page.


3. How to find GCD of 679, 252, 359, 899 on a calculator?

You can find the GCD of 679, 252, 359, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.