GCD of 360, 206, 501, 592 Calculator

Given Input numbers are 360, 206, 501, 592

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

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 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Greatest Common Divisior

We found the divisors of 360, 206, 501, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 206, 501, 592 is 1.

Therefore, GCD of numbers 360, 206, 501, 592 is 1

Given Input Data is 360, 206, 501, 592

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

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

Prime Factorization of 206 is 2 x 103

Prime Factorization of 501 is 3 x 167

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

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(360, 206) = 37080

GCD(360, 206) = ( 360 x 206 ) / 37080

GCD(360, 206) = 74160 / 37080

GCD(360, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 501

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

LCM(2, 501) = 1002

GCD(2, 501) = ( 2 x 501 ) / 1002

GCD(2, 501) = 1002 / 1002

GCD(2, 501) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 592

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

LCM(1, 592) = 592

GCD(1, 592) = ( 1 x 592 ) / 592

GCD(1, 592) = 592 / 592

GCD(1, 592) = 1

GCD of 360, 206, 501, 592 is 1

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1. What is the GCD of 360, 206, 501, 592?

GCD of 360, 206, 501, 592 is 1

2. Where do I get the detailed procedure to find GCD of 360, 206, 501, 592?

You can find a detailed procedure to find GCD of 360, 206, 501, 592 on our page.

3. How to find GCD of 360, 206, 501, 592 on a calculator?

You can find the GCD of 360, 206, 501, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.