GCD of 31, 276, 267, 545 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 31, 276, 267, 545 i.e. 1 largest integer that divides all the numbers equally.

GCD of 31, 276, 267, 545 is 1

GCD(31, 276, 267, 545) = 1

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

GCD of

GCD of numbers 31, 276, 267, 545 is 1

GCD(31, 276, 267, 545) = 1

GCD of 31,276,267,545 Calculator

GCDof 31,276,267,545 is 1

Given Input numbers are 31, 276, 267, 545

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 31, 276, 267, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 276, 267, 545 is 1.

Therefore, GCD of numbers 31, 276, 267, 545 is 1

Finding GCD of 31, 276, 267, 545 using Prime Factorization

Given Input Data is 31, 276, 267, 545

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

Prime Factorization of 31 is 31

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 545 is 5 x 109

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

Finding GCD of 31, 276, 267, 545 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(31, 276) = 8556

GCD(31, 276) = ( 31 x 276 ) / 8556

GCD(31, 276) = 8556 / 8556

GCD(31, 276) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 267

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

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

GCD(1, 267) = 267 / 267

GCD(1, 267) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 545

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

LCM(1, 545) = 545

GCD(1, 545) = ( 1 x 545 ) / 545

GCD(1, 545) = 545 / 545

GCD(1, 545) = 1

GCD of 31, 276, 267, 545 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 31, 276, 267, 545

1. What is the GCD of 31, 276, 267, 545?

GCD of 31, 276, 267, 545 is 1


2. Where do I get the detailed procedure to find GCD of 31, 276, 267, 545?

You can find a detailed procedure to find GCD of 31, 276, 267, 545 on our page.


3. How to find GCD of 31, 276, 267, 545 on a calculator?

You can find the GCD of 31, 276, 267, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.