GCD of 478, 118, 38 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 478, 118, 38 i.e. 2 largest integer that divides all the numbers equally.

GCD of 478, 118, 38 is 2

GCD(478, 118, 38) = 2

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

GCD of

GCD of numbers 478, 118, 38 is 2

GCD(478, 118, 38) = 2

GCD of 478,118,38 Calculator

GCDof 478,118,38 is 2

Given Input numbers are 478, 118, 38

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Greatest Common Divisior

We found the divisors of 478, 118, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 118, 38 is 2.

Therefore, GCD of numbers 478, 118, 38 is 2

Finding GCD of 478, 118, 38 using Prime Factorization

Given Input Data is 478, 118, 38

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 118 is 2 x 59

Prime Factorization of 38 is 2 x 19

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 478, 118, 38 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(478, 118) = 28202

GCD(478, 118) = ( 478 x 118 ) / 28202

GCD(478, 118) = 56404 / 28202

GCD(478, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

GCD of 478, 118, 38 is 2

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FAQs on GCD of numbers 478, 118, 38

1. What is the GCD of 478, 118, 38?

GCD of 478, 118, 38 is 2

2. Where do I get the detailed procedure to find GCD of 478, 118, 38?

You can find a detailed procedure to find GCD of 478, 118, 38 on our page.

3. How to find GCD of 478, 118, 38 on a calculator?

You can find the GCD of 478, 118, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.