GCD of 599, 360, 242, 547 Calculator

Given Input numbers are 599, 360, 242, 547

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

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Greatest Common Divisior

We found the divisors of 599, 360, 242, 547 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 599, 360, 242, 547 is 1.

Therefore, GCD of numbers 599, 360, 242, 547 is 1

Given Input Data is 599, 360, 242, 547

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

Prime Factorization of 599 is 599

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 547 is 547

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(599, 360) = 215640

GCD(599, 360) = ( 599 x 360 ) / 215640

GCD(599, 360) = 215640 / 215640

GCD(599, 360) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 547

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

LCM(1, 547) = 547

GCD(1, 547) = ( 1 x 547 ) / 547

GCD(1, 547) = 547 / 547

GCD(1, 547) = 1

GCD of 599, 360, 242, 547 is 1

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1. What is the GCD of 599, 360, 242, 547?

GCD of 599, 360, 242, 547 is 1

2. Where do I get the detailed procedure to find GCD of 599, 360, 242, 547?

You can find a detailed procedure to find GCD of 599, 360, 242, 547 on our page.

3. How to find GCD of 599, 360, 242, 547 on a calculator?

You can find the GCD of 599, 360, 242, 547 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.