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 918, 327, 452, 358 i.e. 1 largest integer that divides all the numbers equally.
GCD of 918, 327, 452, 358 is 1
GCD(918, 327, 452, 358) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 918, 327, 452, 358 is 1
GCD(918, 327, 452, 358) = 1
Given Input numbers are 918, 327, 452, 358
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Greatest Common Divisior
We found the divisors of 918, 327, 452, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 327, 452, 358 is 1.
Therefore, GCD of numbers 918, 327, 452, 358 is 1
Given Input Data is 918, 327, 452, 358
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 327 is 3 x 109
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 358 is 2 x 179
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(918, 327) = 100062
GCD(918, 327) = ( 918 x 327 ) / 100062
GCD(918, 327) = 300186 / 100062
GCD(918, 327) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 452
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 452) = 1356
GCD(3, 452) = ( 3 x 452 ) / 1356
GCD(3, 452) = 1356 / 1356
GCD(3, 452) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 358
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
GCD(1, 358) = 358 / 358
GCD(1, 358) = 1
GCD of 918, 327, 452, 358 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 918, 327, 452, 358?
GCD of 918, 327, 452, 358 is 1
2. Where do I get the detailed procedure to find GCD of 918, 327, 452, 358?
You can find a detailed procedure to find GCD of 918, 327, 452, 358 on our page.
3. How to find GCD of 918, 327, 452, 358 on a calculator?
You can find the GCD of 918, 327, 452, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.