Online GCD Calculator is useful to find the GCD of 576, 723, 505, 382 quickly. Get the easiest ways to solve the greatest common divisor of 576, 723, 505, 382 i.e 1 in different methods as follows.
Given Input numbers are 576, 723, 505, 382
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
GCD of numbers is the greatest common divisor
So, the GCD (576, 723, 505, 382) = 1.
Given numbers are 576, 723, 505, 382
The list of prime factors of all numbers are
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 723 are 3 x 241
Prime factors of 505 are 5 x 101
Prime factors of 382 are 2 x 191
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 576, 723, 505, 382
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(576, 723) = 138816
GCD(576, 723) = ( 576 x 723 ) / 138816
= 576 / 723
= 576
Step2:
LCM(3, 505) = 1515
GCD(3, 505) = ( 3 x 505 ) / 1515
= 3 / 505
= 3
Step3:
LCM(1, 382) = 382
GCD(1, 382) = ( 1 x 382 ) / 382
= 1 / 382
= 1
So, Greatest Common Divisor of 576, 723, 505, 382 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 576, 723, 505, 382
The greatest common divisor of numbers 576, 723, 505, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 723, 505, 382 is 1.
1. What is the GCD of 576, 723, 505, 382?
GCD of given numbers 576, 723, 505, 382 is 1
2. How to calculate the greatest common divisor of 576, 723, 505, 382?
We can find the highest common divisor of 576, 723, 505, 382 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 576, 723, 505, 382 i.e 1.
3. How can I use the GCD of 576, 723, 505, 382Calculator?
Out the numbers 576, 723, 505, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.