Online GCD Calculator is useful to find the GCD of 723, 891, 361, 576 quickly. Get the easiest ways to solve the greatest common divisor of 723, 891, 361, 576 i.e 1 in different methods as follows.
Given Input numbers are 723, 891, 361, 576
In the factoring method, we have to find the divisors of all numbers
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 576 :
The positive integer divisors of 576 that completely divides 576 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
GCD of numbers is the greatest common divisor
So, the GCD (723, 891, 361, 576) = 1.
Given numbers are 723, 891, 361, 576
The list of prime factors of all numbers are
Prime factors of 723 are 3 x 241
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
Prime factors of 361 are 19 x 19
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 723, 891, 361, 576
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(723, 891) = 214731
GCD(723, 891) = ( 723 x 891 ) / 214731
= 723 / 891
= 723
Step2:
LCM(3, 361) = 1083
GCD(3, 361) = ( 3 x 361 ) / 1083
= 3 / 361
= 3
Step3:
LCM(1, 576) = 576
GCD(1, 576) = ( 1 x 576 ) / 576
= 1 / 576
= 1
So, Greatest Common Divisor of 723, 891, 361, 576 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 723, 891, 361, 576
The greatest common divisor of numbers 723, 891, 361, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 891, 361, 576 is 1.
1. What is the GCD of 723, 891, 361, 576?
GCD of given numbers 723, 891, 361, 576 is 1
2. How to calculate the greatest common divisor of 723, 891, 361, 576?
We can find the highest common divisor of 723, 891, 361, 576 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 723, 891, 361, 576 i.e 1.
3. How can I use the GCD of 723, 891, 361, 576Calculator?
Out the numbers 723, 891, 361, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.