GCD of 778, 390, 936, 283 Calculator

Given Input numbers are 778, 390, 936, 283

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

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Greatest Common Divisior

We found the divisors of 778, 390, 936, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 390, 936, 283 is 1.

Therefore, GCD of numbers 778, 390, 936, 283 is 1

Given Input Data is 778, 390, 936, 283

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 283 is 283

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(778, 390) = 151710

GCD(778, 390) = ( 778 x 390 ) / 151710

GCD(778, 390) = 303420 / 151710

GCD(778, 390) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 936

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

LCM(2, 936) = 936

GCD(2, 936) = ( 2 x 936 ) / 936

GCD(2, 936) = 1872 / 936

GCD(2, 936) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 283

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

LCM(2, 283) = 566

GCD(2, 283) = ( 2 x 283 ) / 566

GCD(2, 283) = 566 / 566

GCD(2, 283) = 1

GCD of 778, 390, 936, 283 is 1

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1. What is the GCD of 778, 390, 936, 283?

GCD of 778, 390, 936, 283 is 1

2. Where do I get the detailed procedure to find GCD of 778, 390, 936, 283?

You can find a detailed procedure to find GCD of 778, 390, 936, 283 on our page.

3. How to find GCD of 778, 390, 936, 283 on a calculator?

You can find the GCD of 778, 390, 936, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.