Online GCD Calculator is useful to find the GCD of 913, 549, 990, 723 quickly. Get the easiest ways to solve the greatest common divisor of 913, 549, 990, 723 i.e 1 in different methods as follows.
Given Input numbers are 913, 549, 990, 723
In the factoring method, we have to find the divisors of all numbers
Divisors of 913 :
The positive integer divisors of 913 that completely divides 913 are.
1, 11, 83, 913
Divisors of 549 :
The positive integer divisors of 549 that completely divides 549 are.
1, 3, 9, 61, 183, 549
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
GCD of numbers is the greatest common divisor
So, the GCD (913, 549, 990, 723) = 1.
Given numbers are 913, 549, 990, 723
The list of prime factors of all numbers are
Prime factors of 913 are 11 x 83
Prime factors of 549 are 3 x 3 x 61
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 723 are 3 x 241
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 913, 549, 990, 723
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(913, 549) = 501237
GCD(913, 549) = ( 913 x 549 ) / 501237
= 913 / 549
= 913
Step2:
LCM(1, 990) = 990
GCD(1, 990) = ( 1 x 990 ) / 990
= 1 / 990
= 1
Step3:
LCM(1, 723) = 723
GCD(1, 723) = ( 1 x 723 ) / 723
= 1 / 723
= 1
So, Greatest Common Divisor of 913, 549, 990, 723 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 913, 549, 990, 723
The greatest common divisor of numbers 913, 549, 990, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 913, 549, 990, 723 is 1.
1. What is the GCD of 913, 549, 990, 723?
GCD of given numbers 913, 549, 990, 723 is 1
2. How to calculate the greatest common divisor of 913, 549, 990, 723?
We can find the highest common divisor of 913, 549, 990, 723 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 913, 549, 990, 723 i.e 1.
3. How can I use the GCD of 913, 549, 990, 723Calculator?
Out the numbers 913, 549, 990, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.