GCD of 778, 356, 312 Calculator

Given Input numbers are 778, 356, 312

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 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 778, 356, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 356, 312 is 2.

Therefore, GCD of numbers 778, 356, 312 is 2

Given Input Data is 778, 356, 312

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 356) = 138484

GCD(778, 356) = ( 778 x 356 ) / 138484

GCD(778, 356) = 276968 / 138484

GCD(778, 356) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 312

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

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

GCD(2, 312) = 624 / 312

GCD(2, 312) = 2

GCD of 778, 356, 312 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 104, 453
• GCD of 909, 788, 899
• GCD of 293, 237, 962
• GCD of 736, 429, 915
• GCD of 885, 927, 364

1. What is the GCD of 778, 356, 312?

GCD of 778, 356, 312 is 2

2. Where do I get the detailed procedure to find GCD of 778, 356, 312?

You can find a detailed procedure to find GCD of 778, 356, 312 on our page.

3. How to find GCD of 778, 356, 312 on a calculator?

You can find the GCD of 778, 356, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.