GCD of 986, 967, 38, 108 Calculator

Given Input numbers are 986, 967, 38, 108

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 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 986, 967, 38, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 967, 38, 108 is 1.

Therefore, GCD of numbers 986, 967, 38, 108 is 1

Given Input Data is 986, 967, 38, 108

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 967 is 967

Prime Factorization of 38 is 2 x 19

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(986, 967) = 953462

GCD(986, 967) = ( 986 x 967 ) / 953462

GCD(986, 967) = 953462 / 953462

GCD(986, 967) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 986, 967, 38, 108 is 1

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• GCD of 566, 213, 89, 621
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1. What is the GCD of 986, 967, 38, 108?

GCD of 986, 967, 38, 108 is 1

2. Where do I get the detailed procedure to find GCD of 986, 967, 38, 108?

You can find a detailed procedure to find GCD of 986, 967, 38, 108 on our page.

3. How to find GCD of 986, 967, 38, 108 on a calculator?

You can find the GCD of 986, 967, 38, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.