Online GCD Calculator is useful to find the GCD of 585, 400, 720, 379 quickly. Get the easiest ways to solve the greatest common divisor of 585, 400, 720, 379 i.e 1 in different methods as follows.
Given Input numbers are 585, 400, 720, 379
In the factoring method, we have to find the divisors of all numbers
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 379 :
The positive integer divisors of 379 that completely divides 379 are.
1, 379
GCD of numbers is the greatest common divisor
So, the GCD (585, 400, 720, 379) = 1.
Given numbers are 585, 400, 720, 379
The list of prime factors of all numbers are
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 379 are 379
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 585, 400, 720, 379
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(585, 400) = 46800
GCD(585, 400) = ( 585 x 400 ) / 46800
= 585 / 400
= 585
Step2:
LCM(5, 720) = 720
GCD(5, 720) = ( 5 x 720 ) / 720
= 5 / 720
= 5
Step3:
LCM(5, 379) = 1895
GCD(5, 379) = ( 5 x 379 ) / 1895
= 5 / 379
= 5
So, Greatest Common Divisor of 585, 400, 720, 379 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 585, 400, 720, 379
The greatest common divisor of numbers 585, 400, 720, 379 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 400, 720, 379 is 1.
1. What is the GCD of 585, 400, 720, 379?
GCD of given numbers 585, 400, 720, 379 is 1
2. How to calculate the greatest common divisor of 585, 400, 720, 379?
We can find the highest common divisor of 585, 400, 720, 379 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 585, 400, 720, 379 i.e 1.
3. How can I use the GCD of 585, 400, 720, 379Calculator?
Out the numbers 585, 400, 720, 379 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.