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 numbers 402, 170, 26 is 2
GCD(402, 170, 26) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.