GCD of 117, 903, 89, 659 Calculator

Given Input numbers are 117, 903, 89, 659

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 117, 903, 89, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 903, 89, 659 is 1.

Therefore, GCD of numbers 117, 903, 89, 659 is 1

Given Input Data is 117, 903, 89, 659

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 89 is 89

Prime Factorization of 659 is 659

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(117, 903) = 35217

GCD(117, 903) = ( 117 x 903 ) / 35217

GCD(117, 903) = 105651 / 35217

GCD(117, 903) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 89

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

LCM(3, 89) = 267

GCD(3, 89) = ( 3 x 89 ) / 267

GCD(3, 89) = 267 / 267

GCD(3, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 117, 903, 89, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 312, 43, 152
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• GCD of 290, 310, 11, 339

1. What is the GCD of 117, 903, 89, 659?

GCD of 117, 903, 89, 659 is 1

2. Where do I get the detailed procedure to find GCD of 117, 903, 89, 659?

You can find a detailed procedure to find GCD of 117, 903, 89, 659 on our page.

3. How to find GCD of 117, 903, 89, 659 on a calculator?

You can find the GCD of 117, 903, 89, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.