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 118, 383, 132, 123 i.e. 1 largest integer that divides all the numbers equally.
GCD of 118, 383, 132, 123 is 1
GCD(118, 383, 132, 123) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 118, 383, 132, 123 is 1
GCD(118, 383, 132, 123) = 1
Given Input numbers are 118, 383, 132, 123
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
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 118, 383, 132, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 383, 132, 123 is 1.
Therefore, GCD of numbers 118, 383, 132, 123 is 1
Given Input Data is 118, 383, 132, 123
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 118 is 2 x 59
Prime Factorization of 383 is 383
Prime Factorization of 132 is 2 x 2 x 3 x 11
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(118, 383) = 45194
GCD(118, 383) = ( 118 x 383 ) / 45194
GCD(118, 383) = 45194 / 45194
GCD(118, 383) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
GCD(1, 123) = 123 / 123
GCD(1, 123) = 1
GCD of 118, 383, 132, 123 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 118, 383, 132, 123?
GCD of 118, 383, 132, 123 is 1
2. Where do I get the detailed procedure to find GCD of 118, 383, 132, 123?
You can find a detailed procedure to find GCD of 118, 383, 132, 123 on our page.
3. How to find GCD of 118, 383, 132, 123 on a calculator?
You can find the GCD of 118, 383, 132, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.