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 366, 376, 30, 123 i.e. 1 largest integer that divides all the numbers equally.
GCD of 366, 376, 30, 123 is 1
GCD(366, 376, 30, 123) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 366, 376, 30, 123 is 1
GCD(366, 376, 30, 123) = 1
Given Input numbers are 366, 376, 30, 123
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Greatest Common Divisior
We found the divisors of 366, 376, 30, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 376, 30, 123 is 1.
Therefore, GCD of numbers 366, 376, 30, 123 is 1
Given Input Data is 366, 376, 30, 123
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 123 is 3 x 41
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(366, 376) = 68808
GCD(366, 376) = ( 366 x 376 ) / 68808
GCD(366, 376) = 137616 / 68808
GCD(366, 376) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 30) = 30
GCD(2, 30) = ( 2 x 30 ) / 30
GCD(2, 30) = 60 / 30
GCD(2, 30) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 123) = 246
GCD(2, 123) = ( 2 x 123 ) / 246
GCD(2, 123) = 246 / 246
GCD(2, 123) = 1
GCD of 366, 376, 30, 123 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 366, 376, 30, 123?
GCD of 366, 376, 30, 123 is 1
2. Where do I get the detailed procedure to find GCD of 366, 376, 30, 123?
You can find a detailed procedure to find GCD of 366, 376, 30, 123 on our page.
3. How to find GCD of 366, 376, 30, 123 on a calculator?
You can find the GCD of 366, 376, 30, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.