GCD of 825, 236, 684 Calculator

Given Input numbers are 825, 236, 684

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 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 825, 236, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 236, 684 is 1.

Therefore, GCD of numbers 825, 236, 684 is 1

Given Input Data is 825, 236, 684

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 236 is 2 x 2 x 59

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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, 236) = 194700

GCD(825, 236) = ( 825 x 236 ) / 194700

GCD(825, 236) = 194700 / 194700

GCD(825, 236) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 825, 236, 684 is 1

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1. What is the GCD of 825, 236, 684?

GCD of 825, 236, 684 is 1

2. Where do I get the detailed procedure to find GCD of 825, 236, 684?

You can find a detailed procedure to find GCD of 825, 236, 684 on our page.

3. How to find GCD of 825, 236, 684 on a calculator?

You can find the GCD of 825, 236, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.