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 660, 684, 99, 911 i.e. 1 largest integer that divides all the numbers equally.
GCD of 660, 684, 99, 911 is 1
GCD(660, 684, 99, 911) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 660, 684, 99, 911 is 1
GCD(660, 684, 99, 911) = 1
Given Input numbers are 660, 684, 99, 911
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 911
List of positive integer divisors of 911 that divides 911 without a remainder.
1, 911
Greatest Common Divisior
We found the divisors of 660, 684, 99, 911 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 684, 99, 911 is 1.
Therefore, GCD of numbers 660, 684, 99, 911 is 1
Given Input Data is 660, 684, 99, 911
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 911 is 911
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(660, 684) = 37620
GCD(660, 684) = ( 660 x 684 ) / 37620
GCD(660, 684) = 451440 / 37620
GCD(660, 684) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 99) = 396
GCD(12, 99) = ( 12 x 99 ) / 396
GCD(12, 99) = 1188 / 396
GCD(12, 99) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 911
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 911) = 2733
GCD(3, 911) = ( 3 x 911 ) / 2733
GCD(3, 911) = 2733 / 2733
GCD(3, 911) = 1
GCD of 660, 684, 99, 911 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 660, 684, 99, 911?
GCD of 660, 684, 99, 911 is 1
2. Where do I get the detailed procedure to find GCD of 660, 684, 99, 911?
You can find a detailed procedure to find GCD of 660, 684, 99, 911 on our page.
3. How to find GCD of 660, 684, 99, 911 on a calculator?
You can find the GCD of 660, 684, 99, 911 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.