GCD of 194, 214, 82, 359 Calculator

Given Input numbers are 194, 214, 82, 359

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 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 194, 214, 82, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 214, 82, 359 is 1.

Therefore, GCD of numbers 194, 214, 82, 359 is 1

Given Input Data is 194, 214, 82, 359

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

Prime Factorization of 194 is 2 x 97

Prime Factorization of 214 is 2 x 107

Prime Factorization of 82 is 2 x 41

Prime Factorization of 359 is 359

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, 214) = 20758

GCD(194, 214) = ( 194 x 214 ) / 20758

GCD(194, 214) = 41516 / 20758

GCD(194, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 359

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

LCM(2, 359) = 718

GCD(2, 359) = ( 2 x 359 ) / 718

GCD(2, 359) = 718 / 718

GCD(2, 359) = 1

GCD of 194, 214, 82, 359 is 1

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1. What is the GCD of 194, 214, 82, 359?

GCD of 194, 214, 82, 359 is 1

2. Where do I get the detailed procedure to find GCD of 194, 214, 82, 359?

You can find a detailed procedure to find GCD of 194, 214, 82, 359 on our page.

3. How to find GCD of 194, 214, 82, 359 on a calculator?

You can find the GCD of 194, 214, 82, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.