GCD of 380, 198, 788, 393 Calculator

Given Input numbers are 380, 198, 788, 393

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 380, 198, 788, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 198, 788, 393 is 1.

Therefore, GCD of numbers 380, 198, 788, 393 is 1

Given Input Data is 380, 198, 788, 393

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 393 is 3 x 131

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(380, 198) = 37620

GCD(380, 198) = ( 380 x 198 ) / 37620

GCD(380, 198) = 75240 / 37620

GCD(380, 198) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 393

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

LCM(2, 393) = 786

GCD(2, 393) = ( 2 x 393 ) / 786

GCD(2, 393) = 786 / 786

GCD(2, 393) = 1

GCD of 380, 198, 788, 393 is 1

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• GCD of 347, 766, 881, 842
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1. What is the GCD of 380, 198, 788, 393?

GCD of 380, 198, 788, 393 is 1

2. Where do I get the detailed procedure to find GCD of 380, 198, 788, 393?

You can find a detailed procedure to find GCD of 380, 198, 788, 393 on our page.

3. How to find GCD of 380, 198, 788, 393 on a calculator?

You can find the GCD of 380, 198, 788, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.