GCD of 268, 164, 109 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 268, 164, 109 i.e. 1 largest integer that divides all the numbers equally.

GCD of 268, 164, 109 is 1

GCD(268, 164, 109) = 1

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

GCD of

GCD of numbers 268, 164, 109 is 1

GCD(268, 164, 109) = 1

GCD of 268,164,109 Calculator

GCDof 268,164,109 is 1

Given Input numbers are 268, 164, 109

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 268, 164, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 164, 109 is 1.

Therefore, GCD of numbers 268, 164, 109 is 1

Finding GCD of 268, 164, 109 using Prime Factorization

Given Input Data is 268, 164, 109

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 109 is 109

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

Finding GCD of 268, 164, 109 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(268, 164) = 10988

GCD(268, 164) = ( 268 x 164 ) / 10988

GCD(268, 164) = 43952 / 10988

GCD(268, 164) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 109

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

LCM(4, 109) = 436

GCD(4, 109) = ( 4 x 109 ) / 436

GCD(4, 109) = 436 / 436

GCD(4, 109) = 1

GCD of 268, 164, 109 is 1

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FAQs on GCD of numbers 268, 164, 109

1. What is the GCD of 268, 164, 109?

GCD of 268, 164, 109 is 1

2. Where do I get the detailed procedure to find GCD of 268, 164, 109?

You can find a detailed procedure to find GCD of 268, 164, 109 on our page.

3. How to find GCD of 268, 164, 109 on a calculator?

You can find the GCD of 268, 164, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.