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 156, 232, 80 i.e. 4 largest integer that divides all the numbers equally.
GCD of 156, 232, 80 is 4
GCD(156, 232, 80) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 156, 232, 80 is 4
GCD(156, 232, 80) = 4
Given Input numbers are 156, 232, 80
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
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 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Greatest Common Divisior
We found the divisors of 156, 232, 80 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 232, 80 is 4.
Therefore, GCD of numbers 156, 232, 80 is 4
Given Input Data is 156, 232, 80
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(156, 232) = 9048
GCD(156, 232) = ( 156 x 232 ) / 9048
GCD(156, 232) = 36192 / 9048
GCD(156, 232) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 80) = 80
GCD(4, 80) = ( 4 x 80 ) / 80
GCD(4, 80) = 320 / 80
GCD(4, 80) = 4
GCD of 156, 232, 80 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 156, 232, 80?
GCD of 156, 232, 80 is 4
2. Where do I get the detailed procedure to find GCD of 156, 232, 80?
You can find a detailed procedure to find GCD of 156, 232, 80 on our page.
3. How to find GCD of 156, 232, 80 on a calculator?
You can find the GCD of 156, 232, 80 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.