GCD of 981, 189, 195, 234 Calculator

Given Input numbers are 981, 189, 195, 234

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

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 981, 189, 195, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 189, 195, 234 is 3.

Therefore, GCD of numbers 981, 189, 195, 234 is 3

Given Input Data is 981, 189, 195, 234

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

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 234 is 2 x 3 x 3 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(981, 189) = 20601

GCD(981, 189) = ( 981 x 189 ) / 20601

GCD(981, 189) = 185409 / 20601

GCD(981, 189) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 195

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

LCM(9, 195) = 585

GCD(9, 195) = ( 9 x 195 ) / 585

GCD(9, 195) = 1755 / 585

GCD(9, 195) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 234

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

LCM(3, 234) = 234

GCD(3, 234) = ( 3 x 234 ) / 234

GCD(3, 234) = 702 / 234

GCD(3, 234) = 3

GCD of 981, 189, 195, 234 is 3

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1. What is the GCD of 981, 189, 195, 234?

GCD of 981, 189, 195, 234 is 3

2. Where do I get the detailed procedure to find GCD of 981, 189, 195, 234?

You can find a detailed procedure to find GCD of 981, 189, 195, 234 on our page.

3. How to find GCD of 981, 189, 195, 234 on a calculator?

You can find the GCD of 981, 189, 195, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.