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 146, 232, 26 i.e. 2 largest integer that divides all the numbers equally.
GCD of 146, 232, 26 is 2
GCD(146, 232, 26) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 146, 232, 26 is 2
GCD(146, 232, 26) = 2
Given Input numbers are 146, 232, 26
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
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 146, 232, 26 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 232, 26 is 2.
Therefore, GCD of numbers 146, 232, 26 is 2
Given Input Data is 146, 232, 26
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 146 is 2 x 73
Prime Factorization of 232 is 2 x 2 x 2 x 29
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(146, 232) = 16936
GCD(146, 232) = ( 146 x 232 ) / 16936
GCD(146, 232) = 33872 / 16936
GCD(146, 232) = 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 146, 232, 26 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 146, 232, 26?
GCD of 146, 232, 26 is 2
2. Where do I get the detailed procedure to find GCD of 146, 232, 26?
You can find a detailed procedure to find GCD of 146, 232, 26 on our page.
3. How to find GCD of 146, 232, 26 on a calculator?
You can find the GCD of 146, 232, 26 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.