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 886, 360, 23, 198 i.e. 1 largest integer that divides all the numbers equally.
GCD of 886, 360, 23, 198 is 1
GCD(886, 360, 23, 198) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 886, 360, 23, 198 is 1
GCD(886, 360, 23, 198) = 1
Given Input numbers are 886, 360, 23, 198
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 886
List of positive integer divisors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Greatest Common Divisior
We found the divisors of 886, 360, 23, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 886, 360, 23, 198 is 1.
Therefore, GCD of numbers 886, 360, 23, 198 is 1
Given Input Data is 886, 360, 23, 198
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 886 is 2 x 443
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 23 is 23
Prime Factorization of 198 is 2 x 3 x 3 x 11
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(886, 360) = 159480
GCD(886, 360) = ( 886 x 360 ) / 159480
GCD(886, 360) = 318960 / 159480
GCD(886, 360) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 23) = 46
GCD(2, 23) = ( 2 x 23 ) / 46
GCD(2, 23) = 46 / 46
GCD(2, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 198
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
GCD(1, 198) = 198 / 198
GCD(1, 198) = 1
GCD of 886, 360, 23, 198 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 886, 360, 23, 198?
GCD of 886, 360, 23, 198 is 1
2. Where do I get the detailed procedure to find GCD of 886, 360, 23, 198?
You can find a detailed procedure to find GCD of 886, 360, 23, 198 on our page.
3. How to find GCD of 886, 360, 23, 198 on a calculator?
You can find the GCD of 886, 360, 23, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.