GCD of 359, 880, 400, 760 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 359, 880, 400, 760 i.e. 1 largest integer that divides all the numbers equally.

GCD of 359, 880, 400, 760 is 1

GCD(359, 880, 400, 760) = 1

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

GCD of

GCD of numbers 359, 880, 400, 760 is 1

GCD(359, 880, 400, 760) = 1

GCD of 359,880,400,760 Calculator

GCDof 359,880,400,760 is 1

Given Input numbers are 359, 880, 400, 760

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

Divisors of 359

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

1, 359

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 359, 880, 400, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 880, 400, 760 is 1.

Therefore, GCD of numbers 359, 880, 400, 760 is 1

Finding GCD of 359, 880, 400, 760 using Prime Factorization

Given Input Data is 359, 880, 400, 760

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

Prime Factorization of 359 is 359

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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

Finding GCD of 359, 880, 400, 760 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(359, 880) = 315920

GCD(359, 880) = ( 359 x 880 ) / 315920

GCD(359, 880) = 315920 / 315920

GCD(359, 880) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 359, 880, 400, 760 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 359, 880, 400, 760

1. What is the GCD of 359, 880, 400, 760?

GCD of 359, 880, 400, 760 is 1


2. Where do I get the detailed procedure to find GCD of 359, 880, 400, 760?

You can find a detailed procedure to find GCD of 359, 880, 400, 760 on our page.


3. How to find GCD of 359, 880, 400, 760 on a calculator?

You can find the GCD of 359, 880, 400, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.