GCD of 915, 681, 12, 829 Calculator

Given Input numbers are 915, 681, 12, 829

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 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

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 915, 681, 12, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 681, 12, 829 is 1.

Therefore, GCD of numbers 915, 681, 12, 829 is 1

Given Input Data is 915, 681, 12, 829

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 681 is 3 x 227

Prime Factorization of 12 is 2 x 2 x 3

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(915, 681) = 207705

GCD(915, 681) = ( 915 x 681 ) / 207705

GCD(915, 681) = 623115 / 207705

GCD(915, 681) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 12

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

LCM(3, 12) = 12

GCD(3, 12) = ( 3 x 12 ) / 12

GCD(3, 12) = 36 / 12

GCD(3, 12) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 829

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

LCM(3, 829) = 2487

GCD(3, 829) = ( 3 x 829 ) / 2487

GCD(3, 829) = 2487 / 2487

GCD(3, 829) = 1

GCD of 915, 681, 12, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 288, 991, 75, 697
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1. What is the GCD of 915, 681, 12, 829?

GCD of 915, 681, 12, 829 is 1

2. Where do I get the detailed procedure to find GCD of 915, 681, 12, 829?

You can find a detailed procedure to find GCD of 915, 681, 12, 829 on our page.

3. How to find GCD of 915, 681, 12, 829 on a calculator?

You can find the GCD of 915, 681, 12, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.