GCD of 194, 278, 34, 369 Calculator

Given Input numbers are 194, 278, 34, 369

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 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 194, 278, 34, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 278, 34, 369 is 1.

Therefore, GCD of numbers 194, 278, 34, 369 is 1

Given Input Data is 194, 278, 34, 369

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

Prime Factorization of 194 is 2 x 97

Prime Factorization of 278 is 2 x 139

Prime Factorization of 34 is 2 x 17

Prime Factorization of 369 is 3 x 3 x 41

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, 278) = 26966

GCD(194, 278) = ( 194 x 278 ) / 26966

GCD(194, 278) = 53932 / 26966

GCD(194, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 369

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

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

GCD(2, 369) = 738 / 738

GCD(2, 369) = 1

GCD of 194, 278, 34, 369 is 1

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• GCD of 633, 144, 61, 720
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1. What is the GCD of 194, 278, 34, 369?

GCD of 194, 278, 34, 369 is 1

2. Where do I get the detailed procedure to find GCD of 194, 278, 34, 369?

You can find a detailed procedure to find GCD of 194, 278, 34, 369 on our page.

3. How to find GCD of 194, 278, 34, 369 on a calculator?

You can find the GCD of 194, 278, 34, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.