GCD of 182, 989, 198 Calculator

Given Input numbers are 182, 989, 198

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

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 989

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

1, 23, 43, 989

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 182, 989, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 989, 198 is 1.

Therefore, GCD of numbers 182, 989, 198 is 1

Given Input Data is 182, 989, 198

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

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 989 is 23 x 43

Prime Factorization of 198 is 2 x 3 x 3 x 11

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(182, 989) = 179998

GCD(182, 989) = ( 182 x 989 ) / 179998

GCD(182, 989) = 179998 / 179998

GCD(182, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 182, 989, 198 is 1

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1. What is the GCD of 182, 989, 198?

GCD of 182, 989, 198 is 1

2. Where do I get the detailed procedure to find GCD of 182, 989, 198?

You can find a detailed procedure to find GCD of 182, 989, 198 on our page.

3. How to find GCD of 182, 989, 198 on a calculator?

You can find the GCD of 182, 989, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.