GCD of 986, 824, 638 Calculator

Given Input numbers are 986, 824, 638

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 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 986, 824, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 824, 638 is 2.

Therefore, GCD of numbers 986, 824, 638 is 2

Given Input Data is 986, 824, 638

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 824 is 2 x 2 x 2 x 103

Prime Factorization of 638 is 2 x 11 x 29

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, 824) = 406232

GCD(986, 824) = ( 986 x 824 ) / 406232

GCD(986, 824) = 812464 / 406232

GCD(986, 824) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 638

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

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

GCD(2, 638) = 1276 / 638

GCD(2, 638) = 2

GCD of 986, 824, 638 is 2

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• GCD of 601, 312, 287
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1. What is the GCD of 986, 824, 638?

GCD of 986, 824, 638 is 2

2. Where do I get the detailed procedure to find GCD of 986, 824, 638?

You can find a detailed procedure to find GCD of 986, 824, 638 on our page.

3. How to find GCD of 986, 824, 638 on a calculator?

You can find the GCD of 986, 824, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.