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 857, 969, 468, 993 i.e. 1 largest integer that divides all the numbers equally.
GCD of 857, 969, 468, 993 is 1
GCD(857, 969, 468, 993) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 857, 969, 468, 993 is 1
GCD(857, 969, 468, 993) = 1
Given Input numbers are 857, 969, 468, 993
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Greatest Common Divisior
We found the divisors of 857, 969, 468, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 857, 969, 468, 993 is 1.
Therefore, GCD of numbers 857, 969, 468, 993 is 1
Given Input Data is 857, 969, 468, 993
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 857 is 857
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 993 is 3 x 331
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(857, 969) = 830433
GCD(857, 969) = ( 857 x 969 ) / 830433
GCD(857, 969) = 830433 / 830433
GCD(857, 969) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 993) = 993
GCD(1, 993) = ( 1 x 993 ) / 993
GCD(1, 993) = 993 / 993
GCD(1, 993) = 1
GCD of 857, 969, 468, 993 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 857, 969, 468, 993?
GCD of 857, 969, 468, 993 is 1
2. Where do I get the detailed procedure to find GCD of 857, 969, 468, 993?
You can find a detailed procedure to find GCD of 857, 969, 468, 993 on our page.
3. How to find GCD of 857, 969, 468, 993 on a calculator?
You can find the GCD of 857, 969, 468, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.