GCD of 774, 868, 987 Calculator

Given Input numbers are 774, 868, 987

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 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 774, 868, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 868, 987 is 1.

Therefore, GCD of numbers 774, 868, 987 is 1

Given Input Data is 774, 868, 987

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 868 is 2 x 2 x 7 x 31

Prime Factorization of 987 is 3 x 7 x 47

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, 868) = 335916

GCD(774, 868) = ( 774 x 868 ) / 335916

GCD(774, 868) = 671832 / 335916

GCD(774, 868) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 987

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

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

GCD(2, 987) = 1974 / 1974

GCD(2, 987) = 1

GCD of 774, 868, 987 is 1

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1. What is the GCD of 774, 868, 987?

GCD of 774, 868, 987 is 1

2. Where do I get the detailed procedure to find GCD of 774, 868, 987?

You can find a detailed procedure to find GCD of 774, 868, 987 on our page.

3. How to find GCD of 774, 868, 987 on a calculator?

You can find the GCD of 774, 868, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.