GCD of 234, 357, 26, 829 Calculator

Given Input numbers are 234, 357, 26, 829

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

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 234, 357, 26, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 357, 26, 829 is 1.

Therefore, GCD of numbers 234, 357, 26, 829 is 1

Given Input Data is 234, 357, 26, 829

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

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 26 is 2 x 13

Prime Factorization of 829 is 829

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(234, 357) = 27846

GCD(234, 357) = ( 234 x 357 ) / 27846

GCD(234, 357) = 83538 / 27846

GCD(234, 357) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 26

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

LCM(3, 26) = 78

GCD(3, 26) = ( 3 x 26 ) / 78

GCD(3, 26) = 78 / 78

GCD(3, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 234, 357, 26, 829 is 1

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1. What is the GCD of 234, 357, 26, 829?

GCD of 234, 357, 26, 829 is 1

2. Where do I get the detailed procedure to find GCD of 234, 357, 26, 829?

You can find a detailed procedure to find GCD of 234, 357, 26, 829 on our page.

3. How to find GCD of 234, 357, 26, 829 on a calculator?

You can find the GCD of 234, 357, 26, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.