GCD of 350, 384, 189 Calculator

Given Input numbers are 350, 384, 189

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 189

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

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

Greatest Common Divisior

We found the divisors of 350, 384, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 384, 189 is 1.

Therefore, GCD of numbers 350, 384, 189 is 1

Given Input Data is 350, 384, 189

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 189 is 3 x 3 x 3 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(350, 384) = 67200

GCD(350, 384) = ( 350 x 384 ) / 67200

GCD(350, 384) = 134400 / 67200

GCD(350, 384) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 189

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

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

GCD(2, 189) = 378 / 378

GCD(2, 189) = 1

GCD of 350, 384, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 863, 247
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• GCD of 648, 916, 198

1. What is the GCD of 350, 384, 189?

GCD of 350, 384, 189 is 1

2. Where do I get the detailed procedure to find GCD of 350, 384, 189?

You can find a detailed procedure to find GCD of 350, 384, 189 on our page.

3. How to find GCD of 350, 384, 189 on a calculator?

You can find the GCD of 350, 384, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.