GCD of 423, 825, 853 Calculator

Given Input numbers are 423, 825, 853

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

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

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 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 423, 825, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 825, 853 is 1.

Therefore, GCD of numbers 423, 825, 853 is 1

Given Input Data is 423, 825, 853

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

Prime Factorization of 423 is 3 x 3 x 47

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

Prime Factorization of 853 is 853

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(423, 825) = 116325

GCD(423, 825) = ( 423 x 825 ) / 116325

GCD(423, 825) = 348975 / 116325

GCD(423, 825) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 853

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

LCM(3, 853) = 2559

GCD(3, 853) = ( 3 x 853 ) / 2559

GCD(3, 853) = 2559 / 2559

GCD(3, 853) = 1

GCD of 423, 825, 853 is 1

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1. What is the GCD of 423, 825, 853?

GCD of 423, 825, 853 is 1

2. Where do I get the detailed procedure to find GCD of 423, 825, 853?

You can find a detailed procedure to find GCD of 423, 825, 853 on our page.

3. How to find GCD of 423, 825, 853 on a calculator?

You can find the GCD of 423, 825, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.