GCD of 986, 644, 110, 742 Calculator

Given Input numbers are 986, 644, 110, 742

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 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 986, 644, 110, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 644, 110, 742 is 2.

Therefore, GCD of numbers 986, 644, 110, 742 is 2

Given Input Data is 986, 644, 110, 742

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 644 is 2 x 2 x 7 x 23

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 742 is 2 x 7 x 53

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, 644) = 317492

GCD(986, 644) = ( 986 x 644 ) / 317492

GCD(986, 644) = 634984 / 317492

GCD(986, 644) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 110

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

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

GCD(2, 110) = 220 / 110

GCD(2, 110) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 742

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

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

GCD(2, 742) = 1484 / 742

GCD(2, 742) = 2

GCD of 986, 644, 110, 742 is 2

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1. What is the GCD of 986, 644, 110, 742?

GCD of 986, 644, 110, 742 is 2

2. Where do I get the detailed procedure to find GCD of 986, 644, 110, 742?

You can find a detailed procedure to find GCD of 986, 644, 110, 742 on our page.

3. How to find GCD of 986, 644, 110, 742 on a calculator?

You can find the GCD of 986, 644, 110, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.