GCD of 774, 815, 676, 978 Calculator

Given Input numbers are 774, 815, 676, 978

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 774, 815, 676, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 815, 676, 978 is 1.

Therefore, GCD of numbers 774, 815, 676, 978 is 1

Given Input Data is 774, 815, 676, 978

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 815 is 5 x 163

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 978 is 2 x 3 x 163

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(774, 815) = 630810

GCD(774, 815) = ( 774 x 815 ) / 630810

GCD(774, 815) = 630810 / 630810

GCD(774, 815) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 774, 815, 676, 978 is 1

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1. What is the GCD of 774, 815, 676, 978?

GCD of 774, 815, 676, 978 is 1

2. Where do I get the detailed procedure to find GCD of 774, 815, 676, 978?

You can find a detailed procedure to find GCD of 774, 815, 676, 978 on our page.

3. How to find GCD of 774, 815, 676, 978 on a calculator?

You can find the GCD of 774, 815, 676, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.