GCD of 432, 418, 122 Calculator

Given Input numbers are 432, 418, 122

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 432, 418, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 418, 122 is 2.

Therefore, GCD of numbers 432, 418, 122 is 2

Given Input Data is 432, 418, 122

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 122 is 2 x 61

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(432, 418) = 90288

GCD(432, 418) = ( 432 x 418 ) / 90288

GCD(432, 418) = 180576 / 90288

GCD(432, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 122

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

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

GCD(2, 122) = 244 / 122

GCD(2, 122) = 2

GCD of 432, 418, 122 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 640, 166, 908
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1. What is the GCD of 432, 418, 122?

GCD of 432, 418, 122 is 2

2. Where do I get the detailed procedure to find GCD of 432, 418, 122?

You can find a detailed procedure to find GCD of 432, 418, 122 on our page.

3. How to find GCD of 432, 418, 122 on a calculator?

You can find the GCD of 432, 418, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.