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, 529, 84 i.e. 1 largest integer that divides all the numbers equally.
GCD of 993, 529, 84 is 1
GCD(993, 529, 84) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 993, 529, 84 is 1
GCD(993, 529, 84) = 1
Given Input numbers are 993, 529, 84
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 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Greatest Common Divisior
We found the divisors of 993, 529, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 529, 84 is 1.
Therefore, GCD of numbers 993, 529, 84 is 1
Given Input Data is 993, 529, 84
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 993 is 3 x 331
Prime Factorization of 529 is 23 x 23
Prime Factorization of 84 is 2 x 2 x 3 x 7
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, 529) = 525297
GCD(993, 529) = ( 993 x 529 ) / 525297
GCD(993, 529) = 525297 / 525297
GCD(993, 529) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
GCD(1, 84) = 84 / 84
GCD(1, 84) = 1
GCD of 993, 529, 84 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 993, 529, 84?
GCD of 993, 529, 84 is 1
2. Where do I get the detailed procedure to find GCD of 993, 529, 84?
You can find a detailed procedure to find GCD of 993, 529, 84 on our page.
3. How to find GCD of 993, 529, 84 on a calculator?
You can find the GCD of 993, 529, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.