GCD of 540, 952, 63, 364 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 540, 952, 63, 364 i.e. 1 largest integer that divides all the numbers equally.

GCD of 540, 952, 63, 364 is 1

GCD(540, 952, 63, 364) = 1

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

GCD of

GCD of numbers 540, 952, 63, 364 is 1

GCD(540, 952, 63, 364) = 1

GCD of 540,952,63,364 Calculator

GCDof 540,952,63,364 is 1

Given Input numbers are 540, 952, 63, 364

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

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

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

Greatest Common Divisior

We found the divisors of 540, 952, 63, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 952, 63, 364 is 1.

Therefore, GCD of numbers 540, 952, 63, 364 is 1

Finding GCD of 540, 952, 63, 364 using Prime Factorization

Given Input Data is 540, 952, 63, 364

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

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 63 is 3 x 3 x 7

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

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

Finding GCD of 540, 952, 63, 364 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(540, 952) = 128520

GCD(540, 952) = ( 540 x 952 ) / 128520

GCD(540, 952) = 514080 / 128520

GCD(540, 952) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 63

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

LCM(4, 63) = 252

GCD(4, 63) = ( 4 x 63 ) / 252

GCD(4, 63) = 252 / 252

GCD(4, 63) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 540, 952, 63, 364 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 540, 952, 63, 364

1. What is the GCD of 540, 952, 63, 364?

GCD of 540, 952, 63, 364 is 1


2. Where do I get the detailed procedure to find GCD of 540, 952, 63, 364?

You can find a detailed procedure to find GCD of 540, 952, 63, 364 on our page.


3. How to find GCD of 540, 952, 63, 364 on a calculator?

You can find the GCD of 540, 952, 63, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.