GCD of 825, 294, 369, 913 Calculator

Given Input numbers are 825, 294, 369, 913

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

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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 825, 294, 369, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 294, 369, 913 is 1.

Therefore, GCD of numbers 825, 294, 369, 913 is 1

Given Input Data is 825, 294, 369, 913

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

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 913 is 11 x 83

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(825, 294) = 80850

GCD(825, 294) = ( 825 x 294 ) / 80850

GCD(825, 294) = 242550 / 80850

GCD(825, 294) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 369

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

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

GCD(3, 369) = 1107 / 369

GCD(3, 369) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 913

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

LCM(3, 913) = 2739

GCD(3, 913) = ( 3 x 913 ) / 2739

GCD(3, 913) = 2739 / 2739

GCD(3, 913) = 1

GCD of 825, 294, 369, 913 is 1

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1. What is the GCD of 825, 294, 369, 913?

GCD of 825, 294, 369, 913 is 1

2. Where do I get the detailed procedure to find GCD of 825, 294, 369, 913?

You can find a detailed procedure to find GCD of 825, 294, 369, 913 on our page.

3. How to find GCD of 825, 294, 369, 913 on a calculator?

You can find the GCD of 825, 294, 369, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.