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 216, 387, 58, 156 i.e. 1 largest integer that divides all the numbers equally.
GCD of 216, 387, 58, 156 is 1
GCD(216, 387, 58, 156) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 216, 387, 58, 156 is 1
GCD(216, 387, 58, 156) = 1
Given Input numbers are 216, 387, 58, 156
To find the GCD of numbers using factoring list out all the divisors of each number
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 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
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 216, 387, 58, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 387, 58, 156 is 1.
Therefore, GCD of numbers 216, 387, 58, 156 is 1
Given Input Data is 216, 387, 58, 156
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 58 is 2 x 29
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(216, 387) = 9288
GCD(216, 387) = ( 216 x 387 ) / 9288
GCD(216, 387) = 83592 / 9288
GCD(216, 387) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 58) = 522
GCD(9, 58) = ( 9 x 58 ) / 522
GCD(9, 58) = 522 / 522
GCD(9, 58) = 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 216, 387, 58, 156 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 216, 387, 58, 156?
GCD of 216, 387, 58, 156 is 1
2. Where do I get the detailed procedure to find GCD of 216, 387, 58, 156?
You can find a detailed procedure to find GCD of 216, 387, 58, 156 on our page.
3. How to find GCD of 216, 387, 58, 156 on a calculator?
You can find the GCD of 216, 387, 58, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.