GCD of 289, 426, 189 Calculator

Given Input numbers are 289, 426, 189

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

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 289, 426, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 426, 189 is 1.

Therefore, GCD of numbers 289, 426, 189 is 1

Given Input Data is 289, 426, 189

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 426 is 2 x 3 x 71

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(289, 426) = 123114

GCD(289, 426) = ( 289 x 426 ) / 123114

GCD(289, 426) = 123114 / 123114

GCD(289, 426) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 289, 426, 189 is 1

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1. What is the GCD of 289, 426, 189?

GCD of 289, 426, 189 is 1

2. Where do I get the detailed procedure to find GCD of 289, 426, 189?

You can find a detailed procedure to find GCD of 289, 426, 189 on our page.

3. How to find GCD of 289, 426, 189 on a calculator?

You can find the GCD of 289, 426, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.