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, 910, 207, 384 i.e. 1 largest integer that divides all the numbers equally.
GCD of 990, 910, 207, 384 is 1
GCD(990, 910, 207, 384) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 990, 910, 207, 384 is 1
GCD(990, 910, 207, 384) = 1
Given Input numbers are 990, 910, 207, 384
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 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Greatest Common Divisior
We found the divisors of 990, 910, 207, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 910, 207, 384 is 1.
Therefore, GCD of numbers 990, 910, 207, 384 is 1
Given Input Data is 990, 910, 207, 384
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 910 is 2 x 5 x 7 x 13
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
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, 910) = 90090
GCD(990, 910) = ( 990 x 910 ) / 90090
GCD(990, 910) = 900900 / 90090
GCD(990, 910) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 207
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 207) = 2070
GCD(10, 207) = ( 10 x 207 ) / 2070
GCD(10, 207) = 2070 / 2070
GCD(10, 207) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 384) = 384
GCD(1, 384) = ( 1 x 384 ) / 384
GCD(1, 384) = 384 / 384
GCD(1, 384) = 1
GCD of 990, 910, 207, 384 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 990, 910, 207, 384?
GCD of 990, 910, 207, 384 is 1
2. Where do I get the detailed procedure to find GCD of 990, 910, 207, 384?
You can find a detailed procedure to find GCD of 990, 910, 207, 384 on our page.
3. How to find GCD of 990, 910, 207, 384 on a calculator?
You can find the GCD of 990, 910, 207, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.