GCD of 120, 474, 422 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 120, 474, 422 i.e. 2 largest integer that divides all the numbers equally.

GCD of 120, 474, 422 is 2

GCD(120, 474, 422) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 120, 474, 422 is 2

GCD(120, 474, 422) = 2

GCD of 120,474,422 Calculator

GCDof 120,474,422 is 2

Given Input numbers are 120, 474, 422

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 120, 474, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 474, 422 is 2.

Therefore, GCD of numbers 120, 474, 422 is 2

Finding GCD of 120, 474, 422 using Prime Factorization

Given Input Data is 120, 474, 422

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 422 is 2 x 211

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 120, 474, 422 using LCM Formula

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(120, 474) = 9480

GCD(120, 474) = ( 120 x 474 ) / 9480

GCD(120, 474) = 56880 / 9480

GCD(120, 474) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 422

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

LCM(6, 422) = 1266

GCD(6, 422) = ( 6 x 422 ) / 1266

GCD(6, 422) = 2532 / 1266

GCD(6, 422) = 2

GCD of 120, 474, 422 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 120, 474, 422

1. What is the GCD of 120, 474, 422?

GCD of 120, 474, 422 is 2

2. Where do I get the detailed procedure to find GCD of 120, 474, 422?

You can find a detailed procedure to find GCD of 120, 474, 422 on our page.

3. How to find GCD of 120, 474, 422 on a calculator?

You can find the GCD of 120, 474, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.