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 990, 203, 966, 125 i.e. 1 largest integer that divides all the numbers equally.
GCD of 990, 203, 966, 125 is 1
GCD(990, 203, 966, 125) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 990, 203, 966, 125 is 1
GCD(990, 203, 966, 125) = 1
Given Input numbers are 990, 203, 966, 125
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Greatest Common Divisior
We found the divisors of 990, 203, 966, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 203, 966, 125 is 1.
Therefore, GCD of numbers 990, 203, 966, 125 is 1
Given Input Data is 990, 203, 966, 125
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 203 is 7 x 29
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 125 is 5 x 5 x 5
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(990, 203) = 200970
GCD(990, 203) = ( 990 x 203 ) / 200970
GCD(990, 203) = 200970 / 200970
GCD(990, 203) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 966
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 966) = 966
GCD(1, 966) = ( 1 x 966 ) / 966
GCD(1, 966) = 966 / 966
GCD(1, 966) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
GCD(1, 125) = 125 / 125
GCD(1, 125) = 1
GCD of 990, 203, 966, 125 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 990, 203, 966, 125?
GCD of 990, 203, 966, 125 is 1
2. Where do I get the detailed procedure to find GCD of 990, 203, 966, 125?
You can find a detailed procedure to find GCD of 990, 203, 966, 125 on our page.
3. How to find GCD of 990, 203, 966, 125 on a calculator?
You can find the GCD of 990, 203, 966, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.