GCD of 828, 109, 456 Calculator

Given Input numbers are 828, 109, 456

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 828, 109, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 109, 456 is 1.

Therefore, GCD of numbers 828, 109, 456 is 1

Given Input Data is 828, 109, 456

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 109 is 109

Prime Factorization of 456 is 2 x 2 x 2 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(828, 109) = 90252

GCD(828, 109) = ( 828 x 109 ) / 90252

GCD(828, 109) = 90252 / 90252

GCD(828, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 828, 109, 456 is 1

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• GCD of 268, 452, 629
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1. What is the GCD of 828, 109, 456?

GCD of 828, 109, 456 is 1

2. Where do I get the detailed procedure to find GCD of 828, 109, 456?

You can find a detailed procedure to find GCD of 828, 109, 456 on our page.

3. How to find GCD of 828, 109, 456 on a calculator?

You can find the GCD of 828, 109, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.