GCD of 109, 119, 302, 195 Calculator

Given Input numbers are 109, 119, 302, 195

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 119

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

1, 7, 17, 119

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 195

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

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

Greatest Common Divisior

We found the divisors of 109, 119, 302, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 119, 302, 195 is 1.

Therefore, GCD of numbers 109, 119, 302, 195 is 1

Given Input Data is 109, 119, 302, 195

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

Prime Factorization of 109 is 109

Prime Factorization of 119 is 7 x 17

Prime Factorization of 302 is 2 x 151

Prime Factorization of 195 is 3 x 5 x 13

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(109, 119) = 12971

GCD(109, 119) = ( 109 x 119 ) / 12971

GCD(109, 119) = 12971 / 12971

GCD(109, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 195

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

LCM(1, 195) = 195

GCD(1, 195) = ( 1 x 195 ) / 195

GCD(1, 195) = 195 / 195

GCD(1, 195) = 1

GCD of 109, 119, 302, 195 is 1

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1. What is the GCD of 109, 119, 302, 195?

GCD of 109, 119, 302, 195 is 1

2. Where do I get the detailed procedure to find GCD of 109, 119, 302, 195?

You can find a detailed procedure to find GCD of 109, 119, 302, 195 on our page.

3. How to find GCD of 109, 119, 302, 195 on a calculator?

You can find the GCD of 109, 119, 302, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.