GCD of 189, 788, 615, 404 Calculator

Given Input numbers are 189, 788, 615, 404

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 788

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

1, 2, 4, 197, 394, 788

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 189, 788, 615, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 788, 615, 404 is 1.

Therefore, GCD of numbers 189, 788, 615, 404 is 1

Given Input Data is 189, 788, 615, 404

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 404 is 2 x 2 x 101

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(189, 788) = 148932

GCD(189, 788) = ( 189 x 788 ) / 148932

GCD(189, 788) = 148932 / 148932

GCD(189, 788) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 615

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

LCM(1, 615) = 615

GCD(1, 615) = ( 1 x 615 ) / 615

GCD(1, 615) = 615 / 615

GCD(1, 615) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 189, 788, 615, 404 is 1

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1. What is the GCD of 189, 788, 615, 404?

GCD of 189, 788, 615, 404 is 1

2. Where do I get the detailed procedure to find GCD of 189, 788, 615, 404?

You can find a detailed procedure to find GCD of 189, 788, 615, 404 on our page.

3. How to find GCD of 189, 788, 615, 404 on a calculator?

You can find the GCD of 189, 788, 615, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.