GCD of 291, 713, 22, 540 Calculator

Given Input numbers are 291, 713, 22, 540

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

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

Greatest Common Divisior

We found the divisors of 291, 713, 22, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 713, 22, 540 is 1.

Therefore, GCD of numbers 291, 713, 22, 540 is 1

Given Input Data is 291, 713, 22, 540

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 713 is 23 x 31

Prime Factorization of 22 is 2 x 11

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

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

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(291, 713) = 207483

GCD(291, 713) = ( 291 x 713 ) / 207483

GCD(291, 713) = 207483 / 207483

GCD(291, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

GCD of 291, 713, 22, 540 is 1

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1. What is the GCD of 291, 713, 22, 540?

GCD of 291, 713, 22, 540 is 1

2. Where do I get the detailed procedure to find GCD of 291, 713, 22, 540?

You can find a detailed procedure to find GCD of 291, 713, 22, 540 on our page.

3. How to find GCD of 291, 713, 22, 540 on a calculator?

You can find the GCD of 291, 713, 22, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.