GCD of 395, 878, 198, 588 Calculator

Given Input numbers are 395, 878, 198, 588

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

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

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 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 395, 878, 198, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 878, 198, 588 is 1.

Therefore, GCD of numbers 395, 878, 198, 588 is 1

Given Input Data is 395, 878, 198, 588

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 878 is 2 x 439

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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(395, 878) = 346810

GCD(395, 878) = ( 395 x 878 ) / 346810

GCD(395, 878) = 346810 / 346810

GCD(395, 878) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 395, 878, 198, 588 is 1

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1. What is the GCD of 395, 878, 198, 588?

GCD of 395, 878, 198, 588 is 1

2. Where do I get the detailed procedure to find GCD of 395, 878, 198, 588?

You can find a detailed procedure to find GCD of 395, 878, 198, 588 on our page.

3. How to find GCD of 395, 878, 198, 588 on a calculator?

You can find the GCD of 395, 878, 198, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.