GCD of 195, 423, 274, 116 Calculator

Given Input numbers are 195, 423, 274, 116

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

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 195, 423, 274, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 423, 274, 116 is 1.

Therefore, GCD of numbers 195, 423, 274, 116 is 1

Given Input Data is 195, 423, 274, 116

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 274 is 2 x 137

Prime Factorization of 116 is 2 x 2 x 29

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(195, 423) = 27495

GCD(195, 423) = ( 195 x 423 ) / 27495

GCD(195, 423) = 82485 / 27495

GCD(195, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 274

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

LCM(3, 274) = 822

GCD(3, 274) = ( 3 x 274 ) / 822

GCD(3, 274) = 822 / 822

GCD(3, 274) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 195, 423, 274, 116 is 1

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1. What is the GCD of 195, 423, 274, 116?

GCD of 195, 423, 274, 116 is 1

2. Where do I get the detailed procedure to find GCD of 195, 423, 274, 116?

You can find a detailed procedure to find GCD of 195, 423, 274, 116 on our page.

3. How to find GCD of 195, 423, 274, 116 on a calculator?

You can find the GCD of 195, 423, 274, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.