GCD of 234, 483, 369 Calculator

Given Input numbers are 234, 483, 369

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 234, 483, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 483, 369 is 3.

Therefore, GCD of numbers 234, 483, 369 is 3

Given Input Data is 234, 483, 369

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 369 is 3 x 3 x 41

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(234, 483) = 37674

GCD(234, 483) = ( 234 x 483 ) / 37674

GCD(234, 483) = 113022 / 37674

GCD(234, 483) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 369

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

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

GCD(3, 369) = 1107 / 369

GCD(3, 369) = 3

GCD of 234, 483, 369 is 3

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1. What is the GCD of 234, 483, 369?

GCD of 234, 483, 369 is 3

2. Where do I get the detailed procedure to find GCD of 234, 483, 369?

You can find a detailed procedure to find GCD of 234, 483, 369 on our page.

3. How to find GCD of 234, 483, 369 on a calculator?

You can find the GCD of 234, 483, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.