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 999, 254, 90, 124 i.e. 1 largest integer that divides all the numbers equally.
GCD of 999, 254, 90, 124 is 1
GCD(999, 254, 90, 124) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 999, 254, 90, 124 is 1
GCD(999, 254, 90, 124) = 1
Given Input numbers are 999, 254, 90, 124
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Greatest Common Divisior
We found the divisors of 999, 254, 90, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 999, 254, 90, 124 is 1.
Therefore, GCD of numbers 999, 254, 90, 124 is 1
Given Input Data is 999, 254, 90, 124
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 254 is 2 x 127
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 124 is 2 x 2 x 31
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(999, 254) = 253746
GCD(999, 254) = ( 999 x 254 ) / 253746
GCD(999, 254) = 253746 / 253746
GCD(999, 254) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 124) = 124
GCD(1, 124) = ( 1 x 124 ) / 124
GCD(1, 124) = 124 / 124
GCD(1, 124) = 1
GCD of 999, 254, 90, 124 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 999, 254, 90, 124?
GCD of 999, 254, 90, 124 is 1
2. Where do I get the detailed procedure to find GCD of 999, 254, 90, 124?
You can find a detailed procedure to find GCD of 999, 254, 90, 124 on our page.
3. How to find GCD of 999, 254, 90, 124 on a calculator?
You can find the GCD of 999, 254, 90, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.