GCD of 360, 991, 919, 491 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 360, 991, 919, 491 i.e. 1 largest integer that divides all the numbers equally.

GCD of 360, 991, 919, 491 is 1

GCD(360, 991, 919, 491) = 1

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

GCD of

GCD of numbers 360, 991, 919, 491 is 1

GCD(360, 991, 919, 491) = 1

GCD of 360,991,919,491 Calculator

GCDof 360,991,919,491 is 1

Given Input numbers are 360, 991, 919, 491

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 360, 991, 919, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 991, 919, 491 is 1.

Therefore, GCD of numbers 360, 991, 919, 491 is 1

Finding GCD of 360, 991, 919, 491 using Prime Factorization

Given Input Data is 360, 991, 919, 491

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 991 is 991

Prime Factorization of 919 is 919

Prime Factorization of 491 is 491

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

Finding GCD of 360, 991, 919, 491 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(360, 991) = 356760

GCD(360, 991) = ( 360 x 991 ) / 356760

GCD(360, 991) = 356760 / 356760

GCD(360, 991) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 360, 991, 919, 491 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 360, 991, 919, 491

1. What is the GCD of 360, 991, 919, 491?

GCD of 360, 991, 919, 491 is 1


2. Where do I get the detailed procedure to find GCD of 360, 991, 919, 491?

You can find a detailed procedure to find GCD of 360, 991, 919, 491 on our page.


3. How to find GCD of 360, 991, 919, 491 on a calculator?

You can find the GCD of 360, 991, 919, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.