GCD of 266, 589, 17, 100 Calculator

Given Input numbers are 266, 589, 17, 100

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

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 266, 589, 17, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 589, 17, 100 is 1.

Therefore, GCD of numbers 266, 589, 17, 100 is 1

Given Input Data is 266, 589, 17, 100

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

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 589 is 19 x 31

Prime Factorization of 17 is 17

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(266, 589) = 8246

GCD(266, 589) = ( 266 x 589 ) / 8246

GCD(266, 589) = 156674 / 8246

GCD(266, 589) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 17

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

LCM(19, 17) = 323

GCD(19, 17) = ( 19 x 17 ) / 323

GCD(19, 17) = 323 / 323

GCD(19, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 266, 589, 17, 100 is 1

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1. What is the GCD of 266, 589, 17, 100?

GCD of 266, 589, 17, 100 is 1

2. Where do I get the detailed procedure to find GCD of 266, 589, 17, 100?

You can find a detailed procedure to find GCD of 266, 589, 17, 100 on our page.

3. How to find GCD of 266, 589, 17, 100 on a calculator?

You can find the GCD of 266, 589, 17, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.