GCD of 772, 243, 112, 321 Calculator

Given Input numbers are 772, 243, 112, 321

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 772, 243, 112, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 243, 112, 321 is 1.

Therefore, GCD of numbers 772, 243, 112, 321 is 1

Given Input Data is 772, 243, 112, 321

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 321 is 3 x 107

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(772, 243) = 187596

GCD(772, 243) = ( 772 x 243 ) / 187596

GCD(772, 243) = 187596 / 187596

GCD(772, 243) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 772, 243, 112, 321 is 1

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1. What is the GCD of 772, 243, 112, 321?

GCD of 772, 243, 112, 321 is 1

2. Where do I get the detailed procedure to find GCD of 772, 243, 112, 321?

You can find a detailed procedure to find GCD of 772, 243, 112, 321 on our page.

3. How to find GCD of 772, 243, 112, 321 on a calculator?

You can find the GCD of 772, 243, 112, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.