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 345, 216, 325, 156 i.e. 1 largest integer that divides all the numbers equally.
GCD of 345, 216, 325, 156 is 1
GCD(345, 216, 325, 156) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 345, 216, 325, 156 is 1
GCD(345, 216, 325, 156) = 1
Given Input numbers are 345, 216, 325, 156
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
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
Greatest Common Divisior
We found the divisors of 345, 216, 325, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 216, 325, 156 is 1.
Therefore, GCD of numbers 345, 216, 325, 156 is 1
Given Input Data is 345, 216, 325, 156
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 156 is 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
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(345, 216) = 24840
GCD(345, 216) = ( 345 x 216 ) / 24840
GCD(345, 216) = 74520 / 24840
GCD(345, 216) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 325
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 325) = 975
GCD(3, 325) = ( 3 x 325 ) / 975
GCD(3, 325) = 975 / 975
GCD(3, 325) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 156
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 156) = 156
GCD(1, 156) = ( 1 x 156 ) / 156
GCD(1, 156) = 156 / 156
GCD(1, 156) = 1
GCD of 345, 216, 325, 156 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 345, 216, 325, 156?
GCD of 345, 216, 325, 156 is 1
2. Where do I get the detailed procedure to find GCD of 345, 216, 325, 156?
You can find a detailed procedure to find GCD of 345, 216, 325, 156 on our page.
3. How to find GCD of 345, 216, 325, 156 on a calculator?
You can find the GCD of 345, 216, 325, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.