Online GCD Calculator is useful to find the GCD of 813, 993, 873, 909 quickly. Get the easiest ways to solve the greatest common divisor of 813, 993, 873, 909 i.e 3 in different methods as follows.
Given Input numbers are 813, 993, 873, 909
In the factoring method, we have to find the divisors of all numbers
Divisors of 813 :
The positive integer divisors of 813 that completely divides 813 are.
1, 3, 271, 813
Divisors of 993 :
The positive integer divisors of 993 that completely divides 993 are.
1, 3, 331, 993
Divisors of 873 :
The positive integer divisors of 873 that completely divides 873 are.
1, 3, 9, 97, 291, 873
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
GCD of numbers is the greatest common divisor
So, the GCD (813, 993, 873, 909) = 3.
Given numbers are 813, 993, 873, 909
The list of prime factors of all numbers are
Prime factors of 813 are 3 x 271
Prime factors of 993 are 3 x 331
Prime factors of 873 are 3 x 3 x 97
Prime factors of 909 are 3 x 3 x 101
The highest common occurrence is 31
Therefore, GCD of 813, 993, 873, 909 is 3.
Given numbers are 813, 993, 873, 909
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(813, 993) = 269103
GCD(813, 993) = ( 813 x 993 ) / 269103
= 813 / 993
= 813
Step2:
LCM(3, 873) = 873
GCD(3, 873) = ( 3 x 873 ) / 873
= 3 / 873
= 3
Step3:
LCM(3, 909) = 909
GCD(3, 909) = ( 3 x 909 ) / 909
= 3 / 909
= 3
So, Greatest Common Divisor of 813, 993, 873, 909 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 813, 993, 873, 909
The greatest common divisor of numbers 813, 993, 873, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 813, 993, 873, 909 is 3.
1. What is the GCD of 813, 993, 873, 909?
GCD of given numbers 813, 993, 873, 909 is 3
2. How to calculate the greatest common divisor of 813, 993, 873, 909?
We can find the highest common divisor of 813, 993, 873, 909 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 813, 993, 873, 909 i.e 3.
3. How can I use the GCD of 813, 993, 873, 909Calculator?
Out the numbers 813, 993, 873, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.