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 123, 954, 74, 190 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 954, 74, 190 is 1
GCD(123, 954, 74, 190) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 954, 74, 190 is 1
GCD(123, 954, 74, 190) = 1
Given Input numbers are 123, 954, 74, 190
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Greatest Common Divisior
We found the divisors of 123, 954, 74, 190 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 954, 74, 190 is 1.
Therefore, GCD of numbers 123, 954, 74, 190 is 1
Given Input Data is 123, 954, 74, 190
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 954 is 2 x 3 x 3 x 53
Prime Factorization of 74 is 2 x 37
Prime Factorization of 190 is 2 x 5 x 19
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(123, 954) = 39114
GCD(123, 954) = ( 123 x 954 ) / 39114
GCD(123, 954) = 117342 / 39114
GCD(123, 954) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 74) = 222
GCD(3, 74) = ( 3 x 74 ) / 222
GCD(3, 74) = 222 / 222
GCD(3, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 190
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 190) = 190
GCD(1, 190) = ( 1 x 190 ) / 190
GCD(1, 190) = 190 / 190
GCD(1, 190) = 1
GCD of 123, 954, 74, 190 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 123, 954, 74, 190?
GCD of 123, 954, 74, 190 is 1
2. Where do I get the detailed procedure to find GCD of 123, 954, 74, 190?
You can find a detailed procedure to find GCD of 123, 954, 74, 190 on our page.
3. How to find GCD of 123, 954, 74, 190 on a calculator?
You can find the GCD of 123, 954, 74, 190 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.