GCD of 194, 916, 119 Calculator

Given Input numbers are 194, 916, 119

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

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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 194, 916, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 916, 119 is 1.

Therefore, GCD of numbers 194, 916, 119 is 1

Given Input Data is 194, 916, 119

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

Prime Factorization of 194 is 2 x 97

Prime Factorization of 916 is 2 x 2 x 229

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(194, 916) = 88852

GCD(194, 916) = ( 194 x 916 ) / 88852

GCD(194, 916) = 177704 / 88852

GCD(194, 916) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 119

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

LCM(2, 119) = 238

GCD(2, 119) = ( 2 x 119 ) / 238

GCD(2, 119) = 238 / 238

GCD(2, 119) = 1

GCD of 194, 916, 119 is 1

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1. What is the GCD of 194, 916, 119?

GCD of 194, 916, 119 is 1

2. Where do I get the detailed procedure to find GCD of 194, 916, 119?

You can find a detailed procedure to find GCD of 194, 916, 119 on our page.

3. How to find GCD of 194, 916, 119 on a calculator?

You can find the GCD of 194, 916, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.