GCD of 117, 198, 209, 119 Calculator

Given Input numbers are 117, 198, 209, 119

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 117, 198, 209, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 198, 209, 119 is 1.

Therefore, GCD of numbers 117, 198, 209, 119 is 1

Given Input Data is 117, 198, 209, 119

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

Prime Factorization of 117 is 3 x 3 x 13

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 119 is 7 x 17

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(117, 198) = 2574

GCD(117, 198) = ( 117 x 198 ) / 2574

GCD(117, 198) = 23166 / 2574

GCD(117, 198) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 209

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

LCM(9, 209) = 1881

GCD(9, 209) = ( 9 x 209 ) / 1881

GCD(9, 209) = 1881 / 1881

GCD(9, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

GCD of 117, 198, 209, 119 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 848, 347, 695
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1. What is the GCD of 117, 198, 209, 119?

GCD of 117, 198, 209, 119 is 1

2. Where do I get the detailed procedure to find GCD of 117, 198, 209, 119?

You can find a detailed procedure to find GCD of 117, 198, 209, 119 on our page.

3. How to find GCD of 117, 198, 209, 119 on a calculator?

You can find the GCD of 117, 198, 209, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.