GCD of 426, 489, 825 Calculator

Given Input numbers are 426, 489, 825

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

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

Greatest Common Divisior

We found the divisors of 426, 489, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 489, 825 is 3.

Therefore, GCD of numbers 426, 489, 825 is 3

Given Input Data is 426, 489, 825

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 489 is 3 x 163

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(426, 489) = 69438

GCD(426, 489) = ( 426 x 489 ) / 69438

GCD(426, 489) = 208314 / 69438

GCD(426, 489) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 825

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

LCM(3, 825) = 825

GCD(3, 825) = ( 3 x 825 ) / 825

GCD(3, 825) = 2475 / 825

GCD(3, 825) = 3

GCD of 426, 489, 825 is 3

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1. What is the GCD of 426, 489, 825?

GCD of 426, 489, 825 is 3

2. Where do I get the detailed procedure to find GCD of 426, 489, 825?

You can find a detailed procedure to find GCD of 426, 489, 825 on our page.

3. How to find GCD of 426, 489, 825 on a calculator?

You can find the GCD of 426, 489, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.