GCD of 360, 995, 992, 351 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, 995, 992, 351 i.e. 1 largest integer that divides all the numbers equally.

GCD of 360, 995, 992, 351 is 1

GCD(360, 995, 992, 351) = 1

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

GCD of

GCD of numbers 360, 995, 992, 351 is 1

GCD(360, 995, 992, 351) = 1

GCD of 360,995,992,351 Calculator

GCDof 360,995,992,351 is 1

Given Input numbers are 360, 995, 992, 351

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 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 360, 995, 992, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 995, 992, 351 is 1.

Therefore, GCD of numbers 360, 995, 992, 351 is 1

Finding GCD of 360, 995, 992, 351 using Prime Factorization

Given Input Data is 360, 995, 992, 351

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 995 is 5 x 199

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 351 is 3 x 3 x 3 x 13

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

Finding GCD of 360, 995, 992, 351 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, 995) = 71640

GCD(360, 995) = ( 360 x 995 ) / 71640

GCD(360, 995) = 358200 / 71640

GCD(360, 995) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 992

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

LCM(5, 992) = 4960

GCD(5, 992) = ( 5 x 992 ) / 4960

GCD(5, 992) = 4960 / 4960

GCD(5, 992) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 360, 995, 992, 351 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 360, 995, 992, 351

1. What is the GCD of 360, 995, 992, 351?

GCD of 360, 995, 992, 351 is 1


2. Where do I get the detailed procedure to find GCD of 360, 995, 992, 351?

You can find a detailed procedure to find GCD of 360, 995, 992, 351 on our page.


3. How to find GCD of 360, 995, 992, 351 on a calculator?

You can find the GCD of 360, 995, 992, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.