GCD of 338, 106, 25 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 338, 106, 25 i.e. 1 largest integer that divides all the numbers equally.

GCD of 338, 106, 25 is 1

GCD(338, 106, 25) = 1

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

GCD of

GCD of numbers 338, 106, 25 is 1

GCD(338, 106, 25) = 1

GCD of 338,106,25 Calculator

GCDof 338,106,25 is 1

Given Input numbers are 338, 106, 25

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Greatest Common Divisior

We found the divisors of 338, 106, 25 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 106, 25 is 1.

Therefore, GCD of numbers 338, 106, 25 is 1

Finding GCD of 338, 106, 25 using Prime Factorization

Given Input Data is 338, 106, 25

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 106 is 2 x 53

Prime Factorization of 25 is 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 338, 106, 25 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(338, 106) = 17914

GCD(338, 106) = ( 338 x 106 ) / 17914

GCD(338, 106) = 35828 / 17914

GCD(338, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

GCD of 338, 106, 25 is 1

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FAQs on GCD of numbers 338, 106, 25

1. What is the GCD of 338, 106, 25?

GCD of 338, 106, 25 is 1

2. Where do I get the detailed procedure to find GCD of 338, 106, 25?

You can find a detailed procedure to find GCD of 338, 106, 25 on our page.

3. How to find GCD of 338, 106, 25 on a calculator?

You can find the GCD of 338, 106, 25 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.