GCD of 986, 758, 774, 650 Calculator

Given Input numbers are 986, 758, 774, 650

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

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 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 986, 758, 774, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 758, 774, 650 is 2.

Therefore, GCD of numbers 986, 758, 774, 650 is 2

Given Input Data is 986, 758, 774, 650

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 758 is 2 x 379

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

Prime Factorization of 650 is 2 x 5 x 5 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(986, 758) = 373694

GCD(986, 758) = ( 986 x 758 ) / 373694

GCD(986, 758) = 747388 / 373694

GCD(986, 758) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 774

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

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

GCD(2, 774) = 1548 / 774

GCD(2, 774) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 650

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

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

GCD(2, 650) = 1300 / 650

GCD(2, 650) = 2

GCD of 986, 758, 774, 650 is 2

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1. What is the GCD of 986, 758, 774, 650?

GCD of 986, 758, 774, 650 is 2

2. Where do I get the detailed procedure to find GCD of 986, 758, 774, 650?

You can find a detailed procedure to find GCD of 986, 758, 774, 650 on our page.

3. How to find GCD of 986, 758, 774, 650 on a calculator?

You can find the GCD of 986, 758, 774, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.