GCD of 180, 679, 213, 394 Calculator

Given Input numbers are 180, 679, 213, 394

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 394

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

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 180, 679, 213, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 679, 213, 394 is 1.

Therefore, GCD of numbers 180, 679, 213, 394 is 1

Given Input Data is 180, 679, 213, 394

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 679 is 7 x 97

Prime Factorization of 213 is 3 x 71

Prime Factorization of 394 is 2 x 197

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(180, 679) = 122220

GCD(180, 679) = ( 180 x 679 ) / 122220

GCD(180, 679) = 122220 / 122220

GCD(180, 679) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 394

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

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

GCD(1, 394) = 394 / 394

GCD(1, 394) = 1

GCD of 180, 679, 213, 394 is 1

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• GCD of 805, 922, 506, 616
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1. What is the GCD of 180, 679, 213, 394?

GCD of 180, 679, 213, 394 is 1

2. Where do I get the detailed procedure to find GCD of 180, 679, 213, 394?

You can find a detailed procedure to find GCD of 180, 679, 213, 394 on our page.

3. How to find GCD of 180, 679, 213, 394 on a calculator?

You can find the GCD of 180, 679, 213, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.