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 406, 180, 696 i.e. 2 largest integer that divides all the numbers equally.
GCD of 406, 180, 696 is 2
GCD(406, 180, 696) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 406, 180, 696 is 2
GCD(406, 180, 696) = 2
Given Input numbers are 406, 180, 696
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Greatest Common Divisior
We found the divisors of 406, 180, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 180, 696 is 2.
Therefore, GCD of numbers 406, 180, 696 is 2
Given Input Data is 406, 180, 696
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
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(406, 180) = 36540
GCD(406, 180) = ( 406 x 180 ) / 36540
GCD(406, 180) = 73080 / 36540
GCD(406, 180) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 696
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 696) = 696
GCD(2, 696) = ( 2 x 696 ) / 696
GCD(2, 696) = 1392 / 696
GCD(2, 696) = 2
GCD of 406, 180, 696 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 406, 180, 696?
GCD of 406, 180, 696 is 2
2. Where do I get the detailed procedure to find GCD of 406, 180, 696?
You can find a detailed procedure to find GCD of 406, 180, 696 on our page.
3. How to find GCD of 406, 180, 696 on a calculator?
You can find the GCD of 406, 180, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.