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 238, 990, 155, 366 i.e. 1 largest integer that divides all the numbers equally.
GCD of 238, 990, 155, 366 is 1
GCD(238, 990, 155, 366) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 990, 155, 366 is 1
GCD(238, 990, 155, 366) = 1
Given Input numbers are 238, 990, 155, 366
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Greatest Common Divisior
We found the divisors of 238, 990, 155, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 990, 155, 366 is 1.
Therefore, GCD of numbers 238, 990, 155, 366 is 1
Given Input Data is 238, 990, 155, 366
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 155 is 5 x 31
Prime Factorization of 366 is 2 x 3 x 61
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(238, 990) = 117810
GCD(238, 990) = ( 238 x 990 ) / 117810
GCD(238, 990) = 235620 / 117810
GCD(238, 990) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 155) = 310
GCD(2, 155) = ( 2 x 155 ) / 310
GCD(2, 155) = 310 / 310
GCD(2, 155) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
GCD of 238, 990, 155, 366 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 238, 990, 155, 366?
GCD of 238, 990, 155, 366 is 1
2. Where do I get the detailed procedure to find GCD of 238, 990, 155, 366?
You can find a detailed procedure to find GCD of 238, 990, 155, 366 on our page.
3. How to find GCD of 238, 990, 155, 366 on a calculator?
You can find the GCD of 238, 990, 155, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.