GCD of 423, 825, 360 Calculator

Given Input numbers are 423, 825, 360

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 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 423, 825, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 825, 360 is 3.

Therefore, GCD of numbers 423, 825, 360 is 3

Given Input Data is 423, 825, 360

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 360 is 2 x 2 x 2 x 3 x 3 x 5

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(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 360

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

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

GCD(3, 360) = 1080 / 360

GCD(3, 360) = 3

GCD of 423, 825, 360 is 3

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1. What is the GCD of 423, 825, 360?

GCD of 423, 825, 360 is 3

2. Where do I get the detailed procedure to find GCD of 423, 825, 360?

You can find a detailed procedure to find GCD of 423, 825, 360 on our page.

3. How to find GCD of 423, 825, 360 on a calculator?

You can find the GCD of 423, 825, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.