GCD of 314, 300, 778, 939 Calculator

Given Input numbers are 314, 300, 778, 939

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 778

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

1, 2, 389, 778

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Greatest Common Divisior

We found the divisors of 314, 300, 778, 939 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 300, 778, 939 is 1.

Therefore, GCD of numbers 314, 300, 778, 939 is 1

Given Input Data is 314, 300, 778, 939

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 778 is 2 x 389

Prime Factorization of 939 is 3 x 313

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(314, 300) = 47100

GCD(314, 300) = ( 314 x 300 ) / 47100

GCD(314, 300) = 94200 / 47100

GCD(314, 300) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 778

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

LCM(2, 778) = 778

GCD(2, 778) = ( 2 x 778 ) / 778

GCD(2, 778) = 1556 / 778

GCD(2, 778) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 939

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

LCM(2, 939) = 1878

GCD(2, 939) = ( 2 x 939 ) / 1878

GCD(2, 939) = 1878 / 1878

GCD(2, 939) = 1

GCD of 314, 300, 778, 939 is 1

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1. What is the GCD of 314, 300, 778, 939?

GCD of 314, 300, 778, 939 is 1

2. Where do I get the detailed procedure to find GCD of 314, 300, 778, 939?

You can find a detailed procedure to find GCD of 314, 300, 778, 939 on our page.

3. How to find GCD of 314, 300, 778, 939 on a calculator?

You can find the GCD of 314, 300, 778, 939 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.