GCD of 276, 560, 364, 315 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 276, 560, 364, 315 i.e. 1 largest integer that divides all the numbers equally.

GCD of 276, 560, 364, 315 is 1

GCD(276, 560, 364, 315) = 1

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

GCD of

GCD of numbers 276, 560, 364, 315 is 1

GCD(276, 560, 364, 315) = 1

GCD of 276,560,364,315 Calculator

GCDof 276,560,364,315 is 1

Given Input numbers are 276, 560, 364, 315

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 276, 560, 364, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 560, 364, 315 is 1.

Therefore, GCD of numbers 276, 560, 364, 315 is 1

Finding GCD of 276, 560, 364, 315 using Prime Factorization

Given Input Data is 276, 560, 364, 315

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 315 is 3 x 3 x 5 x 7

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

Finding GCD of 276, 560, 364, 315 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(276, 560) = 38640

GCD(276, 560) = ( 276 x 560 ) / 38640

GCD(276, 560) = 154560 / 38640

GCD(276, 560) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 364

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

LCM(4, 364) = 364

GCD(4, 364) = ( 4 x 364 ) / 364

GCD(4, 364) = 1456 / 364

GCD(4, 364) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 315

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

LCM(4, 315) = 1260

GCD(4, 315) = ( 4 x 315 ) / 1260

GCD(4, 315) = 1260 / 1260

GCD(4, 315) = 1

GCD of 276, 560, 364, 315 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 276, 560, 364, 315

1. What is the GCD of 276, 560, 364, 315?

GCD of 276, 560, 364, 315 is 1


2. Where do I get the detailed procedure to find GCD of 276, 560, 364, 315?

You can find a detailed procedure to find GCD of 276, 560, 364, 315 on our page.


3. How to find GCD of 276, 560, 364, 315 on a calculator?

You can find the GCD of 276, 560, 364, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.