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 855, 385, 498, 993 i.e. 1 largest integer that divides all the numbers equally.
GCD of 855, 385, 498, 993 is 1
GCD(855, 385, 498, 993) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 855, 385, 498, 993 is 1
GCD(855, 385, 498, 993) = 1
Given Input numbers are 855, 385, 498, 993
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
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 855, 385, 498, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 385, 498, 993 is 1.
Therefore, GCD of numbers 855, 385, 498, 993 is 1
Given Input Data is 855, 385, 498, 993
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 498 is 2 x 3 x 83
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(855, 385) = 65835
GCD(855, 385) = ( 855 x 385 ) / 65835
GCD(855, 385) = 329175 / 65835
GCD(855, 385) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 498
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 498) = 2490
GCD(5, 498) = ( 5 x 498 ) / 2490
GCD(5, 498) = 2490 / 2490
GCD(5, 498) = 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 855, 385, 498, 993 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 855, 385, 498, 993?
GCD of 855, 385, 498, 993 is 1
2. Where do I get the detailed procedure to find GCD of 855, 385, 498, 993?
You can find a detailed procedure to find GCD of 855, 385, 498, 993 on our page.
3. How to find GCD of 855, 385, 498, 993 on a calculator?
You can find the GCD of 855, 385, 498, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.