GCD of 402, 170, 26 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 402, 170, 26 i.e. 2 largest integer that divides all the numbers equally.

GCD of 402, 170, 26 is 2

GCD(402, 170, 26) = 2

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

GCD of

GCD of numbers 402, 170, 26 is 2

GCD(402, 170, 26) = 2

GCD of 402,170,26 Calculator

GCDof 402,170,26 is 2

Given Input numbers are 402, 170, 26

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Greatest Common Divisior

We found the divisors of 402, 170, 26 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 170, 26 is 2.

Therefore, GCD of numbers 402, 170, 26 is 2

Finding GCD of 402, 170, 26 using Prime Factorization

Given Input Data is 402, 170, 26

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 26 is 2 x 13

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 402, 170, 26 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(402, 170) = 34170

GCD(402, 170) = ( 402 x 170 ) / 34170

GCD(402, 170) = 68340 / 34170

GCD(402, 170) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

GCD of 402, 170, 26 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 402, 170, 26

1. What is the GCD of 402, 170, 26?

GCD of 402, 170, 26 is 2


2. Where do I get the detailed procedure to find GCD of 402, 170, 26?

You can find a detailed procedure to find GCD of 402, 170, 26 on our page.


3. How to find GCD of 402, 170, 26 on a calculator?

You can find the GCD of 402, 170, 26 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.