GCD of 540, 195, 72, 963 Calculator

Given Input numbers are 540, 195, 72, 963

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 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Greatest Common Divisior

We found the divisors of 540, 195, 72, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 195, 72, 963 is 3.

Therefore, GCD of numbers 540, 195, 72, 963 is 3

Given Input Data is 540, 195, 72, 963

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 195 is 3 x 5 x 13

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 963 is 3 x 3 x 107

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 195) = 7020

GCD(540, 195) = ( 540 x 195 ) / 7020

GCD(540, 195) = 105300 / 7020

GCD(540, 195) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 72

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

LCM(15, 72) = 360

GCD(15, 72) = ( 15 x 72 ) / 360

GCD(15, 72) = 1080 / 360

GCD(15, 72) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 963

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

LCM(3, 963) = 963

GCD(3, 963) = ( 3 x 963 ) / 963

GCD(3, 963) = 2889 / 963

GCD(3, 963) = 3

GCD of 540, 195, 72, 963 is 3

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1. What is the GCD of 540, 195, 72, 963?

GCD of 540, 195, 72, 963 is 3

2. Where do I get the detailed procedure to find GCD of 540, 195, 72, 963?

You can find a detailed procedure to find GCD of 540, 195, 72, 963 on our page.

3. How to find GCD of 540, 195, 72, 963 on a calculator?

You can find the GCD of 540, 195, 72, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.