GCD of 915, 362, 829, 204 Calculator

Given Input numbers are 915, 362, 829, 204

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

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 829

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

1, 829

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 915, 362, 829, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 362, 829, 204 is 1.

Therefore, GCD of numbers 915, 362, 829, 204 is 1

Given Input Data is 915, 362, 829, 204

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 362 is 2 x 181

Prime Factorization of 829 is 829

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(915, 362) = 331230

GCD(915, 362) = ( 915 x 362 ) / 331230

GCD(915, 362) = 331230 / 331230

GCD(915, 362) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 915, 362, 829, 204 is 1

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1. What is the GCD of 915, 362, 829, 204?

GCD of 915, 362, 829, 204 is 1

2. Where do I get the detailed procedure to find GCD of 915, 362, 829, 204?

You can find a detailed procedure to find GCD of 915, 362, 829, 204 on our page.

3. How to find GCD of 915, 362, 829, 204 on a calculator?

You can find the GCD of 915, 362, 829, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.