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, 959, 738, 307 i.e. 1 largest integer that divides all the numbers equally.
GCD of 216, 959, 738, 307 is 1
GCD(216, 959, 738, 307) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 216, 959, 738, 307 is 1
GCD(216, 959, 738, 307) = 1
Given Input numbers are 216, 959, 738, 307
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 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Greatest Common Divisior
We found the divisors of 216, 959, 738, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 959, 738, 307 is 1.
Therefore, GCD of numbers 216, 959, 738, 307 is 1
Given Input Data is 216, 959, 738, 307
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 959 is 7 x 137
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 307 is 307
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, 959) = 207144
GCD(216, 959) = ( 216 x 959 ) / 207144
GCD(216, 959) = 207144 / 207144
GCD(216, 959) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 738
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
GCD(1, 738) = 738 / 738
GCD(1, 738) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 307
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 307) = 307
GCD(1, 307) = ( 1 x 307 ) / 307
GCD(1, 307) = 307 / 307
GCD(1, 307) = 1
GCD of 216, 959, 738, 307 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 216, 959, 738, 307?
GCD of 216, 959, 738, 307 is 1
2. Where do I get the detailed procedure to find GCD of 216, 959, 738, 307?
You can find a detailed procedure to find GCD of 216, 959, 738, 307 on our page.
3. How to find GCD of 216, 959, 738, 307 on a calculator?
You can find the GCD of 216, 959, 738, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.