GCD of 986, 108, 617, 846 Calculator

Given Input numbers are 986, 108, 617, 846

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 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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 986, 108, 617, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 108, 617, 846 is 1.

Therefore, GCD of numbers 986, 108, 617, 846 is 1

Given Input Data is 986, 108, 617, 846

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 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 617 is 617

Prime Factorization of 846 is 2 x 3 x 3 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(986, 108) = 53244

GCD(986, 108) = ( 986 x 108 ) / 53244

GCD(986, 108) = 106488 / 53244

GCD(986, 108) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 617

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

LCM(2, 617) = 1234

GCD(2, 617) = ( 2 x 617 ) / 1234

GCD(2, 617) = 1234 / 1234

GCD(2, 617) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 846

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

LCM(1, 846) = 846

GCD(1, 846) = ( 1 x 846 ) / 846

GCD(1, 846) = 846 / 846

GCD(1, 846) = 1

GCD of 986, 108, 617, 846 is 1

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1. What is the GCD of 986, 108, 617, 846?

GCD of 986, 108, 617, 846 is 1

2. Where do I get the detailed procedure to find GCD of 986, 108, 617, 846?

You can find a detailed procedure to find GCD of 986, 108, 617, 846 on our page.

3. How to find GCD of 986, 108, 617, 846 on a calculator?

You can find the GCD of 986, 108, 617, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.