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, 693, 992, 918 i.e. 1 largest integer that divides all the numbers equally.
GCD of 660, 693, 992, 918 is 1
GCD(660, 693, 992, 918) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 660, 693, 992, 918 is 1
GCD(660, 693, 992, 918) = 1
Given Input numbers are 660, 693, 992, 918
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 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Greatest Common Divisior
We found the divisors of 660, 693, 992, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 693, 992, 918 is 1.
Therefore, GCD of numbers 660, 693, 992, 918 is 1
Given Input Data is 660, 693, 992, 918
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 693 is 3 x 3 x 7 x 11
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
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, 693) = 13860
GCD(660, 693) = ( 660 x 693 ) / 13860
GCD(660, 693) = 457380 / 13860
GCD(660, 693) = 33
Step2:
Here we consider the GCD from the above i.e. 33 as first number and the next as 992
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(33, 992) = 32736
GCD(33, 992) = ( 33 x 992 ) / 32736
GCD(33, 992) = 32736 / 32736
GCD(33, 992) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
GCD(1, 918) = 918 / 918
GCD(1, 918) = 1
GCD of 660, 693, 992, 918 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 660, 693, 992, 918?
GCD of 660, 693, 992, 918 is 1
2. Where do I get the detailed procedure to find GCD of 660, 693, 992, 918?
You can find a detailed procedure to find GCD of 660, 693, 992, 918 on our page.
3. How to find GCD of 660, 693, 992, 918 on a calculator?
You can find the GCD of 660, 693, 992, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.