GCD of 284, 772, 339, 780 Calculator

Given Input numbers are 284, 772, 339, 780

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 772

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

1, 2, 4, 193, 386, 772

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 284, 772, 339, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 772, 339, 780 is 1.

Therefore, GCD of numbers 284, 772, 339, 780 is 1

Given Input Data is 284, 772, 339, 780

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 339 is 3 x 113

Prime Factorization of 780 is 2 x 2 x 3 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(284, 772) = 54812

GCD(284, 772) = ( 284 x 772 ) / 54812

GCD(284, 772) = 219248 / 54812

GCD(284, 772) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 339

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

LCM(4, 339) = 1356

GCD(4, 339) = ( 4 x 339 ) / 1356

GCD(4, 339) = 1356 / 1356

GCD(4, 339) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

GCD of 284, 772, 339, 780 is 1

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1. What is the GCD of 284, 772, 339, 780?

GCD of 284, 772, 339, 780 is 1

2. Where do I get the detailed procedure to find GCD of 284, 772, 339, 780?

You can find a detailed procedure to find GCD of 284, 772, 339, 780 on our page.

3. How to find GCD of 284, 772, 339, 780 on a calculator?

You can find the GCD of 284, 772, 339, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.