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 993, 766, 10, 855 i.e. 1 largest integer that divides all the numbers equally.
GCD of 993, 766, 10, 855 is 1
GCD(993, 766, 10, 855) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 993, 766, 10, 855 is 1
GCD(993, 766, 10, 855) = 1
Given Input numbers are 993, 766, 10, 855
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Greatest Common Divisior
We found the divisors of 993, 766, 10, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 766, 10, 855 is 1.
Therefore, GCD of numbers 993, 766, 10, 855 is 1
Given Input Data is 993, 766, 10, 855
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 993 is 3 x 331
Prime Factorization of 766 is 2 x 383
Prime Factorization of 10 is 2 x 5
Prime Factorization of 855 is 3 x 3 x 5 x 19
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(993, 766) = 760638
GCD(993, 766) = ( 993 x 766 ) / 760638
GCD(993, 766) = 760638 / 760638
GCD(993, 766) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 855
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 855) = 855
GCD(1, 855) = ( 1 x 855 ) / 855
GCD(1, 855) = 855 / 855
GCD(1, 855) = 1
GCD of 993, 766, 10, 855 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 993, 766, 10, 855?
GCD of 993, 766, 10, 855 is 1
2. Where do I get the detailed procedure to find GCD of 993, 766, 10, 855?
You can find a detailed procedure to find GCD of 993, 766, 10, 855 on our page.
3. How to find GCD of 993, 766, 10, 855 on a calculator?
You can find the GCD of 993, 766, 10, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.