GCD of 76, 795, 360, 242 Calculator

Given Input numbers are 76, 795, 360, 242

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

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

Greatest Common Divisior

We found the divisors of 76, 795, 360, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 795, 360, 242 is 1.

Therefore, GCD of numbers 76, 795, 360, 242 is 1

Given Input Data is 76, 795, 360, 242

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 795 is 3 x 5 x 53

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

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(76, 795) = 60420

GCD(76, 795) = ( 76 x 795 ) / 60420

GCD(76, 795) = 60420 / 60420

GCD(76, 795) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

Step3:

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

GCD of 76, 795, 360, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 405, 779, 607
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1. What is the GCD of 76, 795, 360, 242?

GCD of 76, 795, 360, 242 is 1

2. Where do I get the detailed procedure to find GCD of 76, 795, 360, 242?

You can find a detailed procedure to find GCD of 76, 795, 360, 242 on our page.

3. How to find GCD of 76, 795, 360, 242 on a calculator?

You can find the GCD of 76, 795, 360, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.