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 549, 423, 993, 929 i.e. 1 largest integer that divides all the numbers equally.
GCD of 549, 423, 993, 929 is 1
GCD(549, 423, 993, 929) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 549, 423, 993, 929 is 1
GCD(549, 423, 993, 929) = 1
Given Input numbers are 549, 423, 993, 929
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 929
List of positive integer divisors of 929 that divides 929 without a remainder.
1, 929
Greatest Common Divisior
We found the divisors of 549, 423, 993, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 423, 993, 929 is 1.
Therefore, GCD of numbers 549, 423, 993, 929 is 1
Given Input Data is 549, 423, 993, 929
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 993 is 3 x 331
Prime Factorization of 929 is 929
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(549, 423) = 25803
GCD(549, 423) = ( 549 x 423 ) / 25803
GCD(549, 423) = 232227 / 25803
GCD(549, 423) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 993) = 2979
GCD(9, 993) = ( 9 x 993 ) / 2979
GCD(9, 993) = 8937 / 2979
GCD(9, 993) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 929
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 929) = 2787
GCD(3, 929) = ( 3 x 929 ) / 2787
GCD(3, 929) = 2787 / 2787
GCD(3, 929) = 1
GCD of 549, 423, 993, 929 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 549, 423, 993, 929?
GCD of 549, 423, 993, 929 is 1
2. Where do I get the detailed procedure to find GCD of 549, 423, 993, 929?
You can find a detailed procedure to find GCD of 549, 423, 993, 929 on our page.
3. How to find GCD of 549, 423, 993, 929 on a calculator?
You can find the GCD of 549, 423, 993, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.