GCD of 394, 185, 83, 123 Calculator

Given Input numbers are 394, 185, 83, 123

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 394, 185, 83, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 185, 83, 123 is 1.

Therefore, GCD of numbers 394, 185, 83, 123 is 1

Given Input Data is 394, 185, 83, 123

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 185 is 5 x 37

Prime Factorization of 83 is 83

Prime Factorization of 123 is 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(394, 185) = 72890

GCD(394, 185) = ( 394 x 185 ) / 72890

GCD(394, 185) = 72890 / 72890

GCD(394, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 394, 185, 83, 123 is 1

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1. What is the GCD of 394, 185, 83, 123?

GCD of 394, 185, 83, 123 is 1

2. Where do I get the detailed procedure to find GCD of 394, 185, 83, 123?

You can find a detailed procedure to find GCD of 394, 185, 83, 123 on our page.

3. How to find GCD of 394, 185, 83, 123 on a calculator?

You can find the GCD of 394, 185, 83, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.