GCD of 109, 825, 17, 234 Calculator

Given Input numbers are 109, 825, 17, 234

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 17

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

1, 17

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 109, 825, 17, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 825, 17, 234 is 1.

Therefore, GCD of numbers 109, 825, 17, 234 is 1

Given Input Data is 109, 825, 17, 234

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

Prime Factorization of 109 is 109

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 17 is 17

Prime Factorization of 234 is 2 x 3 x 3 x 13

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(109, 825) = 89925

GCD(109, 825) = ( 109 x 825 ) / 89925

GCD(109, 825) = 89925 / 89925

GCD(109, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

GCD of 109, 825, 17, 234 is 1

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• GCD of 196, 466, 72, 625
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1. What is the GCD of 109, 825, 17, 234?

GCD of 109, 825, 17, 234 is 1

2. Where do I get the detailed procedure to find GCD of 109, 825, 17, 234?

You can find a detailed procedure to find GCD of 109, 825, 17, 234 on our page.

3. How to find GCD of 109, 825, 17, 234 on a calculator?

You can find the GCD of 109, 825, 17, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.