GCD of 825, 940, 204 Calculator

Given Input numbers are 825, 940, 204

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 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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 825, 940, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 940, 204 is 1.

Therefore, GCD of numbers 825, 940, 204 is 1

Given Input Data is 825, 940, 204

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 940 is 2 x 2 x 5 x 47

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(825, 940) = 155100

GCD(825, 940) = ( 825 x 940 ) / 155100

GCD(825, 940) = 775500 / 155100

GCD(825, 940) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 204

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

LCM(5, 204) = 1020

GCD(5, 204) = ( 5 x 204 ) / 1020

GCD(5, 204) = 1020 / 1020

GCD(5, 204) = 1

GCD of 825, 940, 204 is 1

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• GCD of 487, 955, 158
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1. What is the GCD of 825, 940, 204?

GCD of 825, 940, 204 is 1

2. Where do I get the detailed procedure to find GCD of 825, 940, 204?

You can find a detailed procedure to find GCD of 825, 940, 204 on our page.

3. How to find GCD of 825, 940, 204 on a calculator?

You can find the GCD of 825, 940, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.