GCD of 772, 854, 20, 309 Calculator

Given Input numbers are 772, 854, 20, 309

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 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 772, 854, 20, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 854, 20, 309 is 1.

Therefore, GCD of numbers 772, 854, 20, 309 is 1

Given Input Data is 772, 854, 20, 309

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 854 is 2 x 7 x 61

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 309 is 3 x 103

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, 854) = 329644

GCD(772, 854) = ( 772 x 854 ) / 329644

GCD(772, 854) = 659288 / 329644

GCD(772, 854) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

GCD of 772, 854, 20, 309 is 1

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1. What is the GCD of 772, 854, 20, 309?

GCD of 772, 854, 20, 309 is 1

2. Where do I get the detailed procedure to find GCD of 772, 854, 20, 309?

You can find a detailed procedure to find GCD of 772, 854, 20, 309 on our page.

3. How to find GCD of 772, 854, 20, 309 on a calculator?

You can find the GCD of 772, 854, 20, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.