GCD of 242, 996, 360, 975 Calculator

Given Input numbers are 242, 996, 360, 975

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

Divisors of 242

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

1, 2, 11, 22, 121, 242

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

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 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 242, 996, 360, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 996, 360, 975 is 1.

Therefore, GCD of numbers 242, 996, 360, 975 is 1

Given Input Data is 242, 996, 360, 975

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 996 is 2 x 2 x 3 x 83

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(242, 996) = 120516

GCD(242, 996) = ( 242 x 996 ) / 120516

GCD(242, 996) = 241032 / 120516

GCD(242, 996) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 360

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

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

GCD(2, 360) = 720 / 360

GCD(2, 360) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 975

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

LCM(2, 975) = 1950

GCD(2, 975) = ( 2 x 975 ) / 1950

GCD(2, 975) = 1950 / 1950

GCD(2, 975) = 1

GCD of 242, 996, 360, 975 is 1

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1. What is the GCD of 242, 996, 360, 975?

GCD of 242, 996, 360, 975 is 1

2. Where do I get the detailed procedure to find GCD of 242, 996, 360, 975?

You can find a detailed procedure to find GCD of 242, 996, 360, 975 on our page.

3. How to find GCD of 242, 996, 360, 975 on a calculator?

You can find the GCD of 242, 996, 360, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.