GCD of 559, 268, 189, 254 Calculator

Given Input numbers are 559, 268, 189, 254

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

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

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 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 559, 268, 189, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 268, 189, 254 is 1.

Therefore, GCD of numbers 559, 268, 189, 254 is 1

Given Input Data is 559, 268, 189, 254

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 268 is 2 x 2 x 67

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

Prime Factorization of 254 is 2 x 127

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(559, 268) = 149812

GCD(559, 268) = ( 559 x 268 ) / 149812

GCD(559, 268) = 149812 / 149812

GCD(559, 268) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

GCD of 559, 268, 189, 254 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 939, 839, 409
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• GCD of 650, 667, 974, 656
• GCD of 142, 255, 573, 581

1. What is the GCD of 559, 268, 189, 254?

GCD of 559, 268, 189, 254 is 1

2. Where do I get the detailed procedure to find GCD of 559, 268, 189, 254?

You can find a detailed procedure to find GCD of 559, 268, 189, 254 on our page.

3. How to find GCD of 559, 268, 189, 254 on a calculator?

You can find the GCD of 559, 268, 189, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.