GCD of 978, 106, 18, 989 Calculator

Given Input numbers are 978, 106, 18, 989

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

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 978, 106, 18, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 106, 18, 989 is 1.

Therefore, GCD of numbers 978, 106, 18, 989 is 1

Given Input Data is 978, 106, 18, 989

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 106 is 2 x 53

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 989 is 23 x 43

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(978, 106) = 51834

GCD(978, 106) = ( 978 x 106 ) / 51834

GCD(978, 106) = 103668 / 51834

GCD(978, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 989

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

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

GCD(2, 989) = 1978 / 1978

GCD(2, 989) = 1

GCD of 978, 106, 18, 989 is 1

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1. What is the GCD of 978, 106, 18, 989?

GCD of 978, 106, 18, 989 is 1

2. Where do I get the detailed procedure to find GCD of 978, 106, 18, 989?

You can find a detailed procedure to find GCD of 978, 106, 18, 989 on our page.

3. How to find GCD of 978, 106, 18, 989 on a calculator?

You can find the GCD of 978, 106, 18, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.