Online GCD Calculator is useful to find the GCD of 585, 576, 702, 520 quickly. Get the easiest ways to solve the greatest common divisor of 585, 576, 702, 520 i.e 1 in different methods as follows.
Given Input numbers are 585, 576, 702, 520
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 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 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
GCD of numbers is the greatest common divisor
So, the GCD (585, 576, 702, 520) = 1.
Given numbers are 585, 576, 702, 520
The list of prime factors of all numbers are
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 585, 576, 702, 520
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(585, 576) = 37440
GCD(585, 576) = ( 585 x 576 ) / 37440
= 585 / 576
= 585
Step2:
LCM(9, 702) = 702
GCD(9, 702) = ( 9 x 702 ) / 702
= 9 / 702
= 9
Step3:
LCM(9, 520) = 4680
GCD(9, 520) = ( 9 x 520 ) / 4680
= 9 / 520
= 9
So, Greatest Common Divisor of 585, 576, 702, 520 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 585, 576, 702, 520
The greatest common divisor of numbers 585, 576, 702, 520 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 576, 702, 520 is 1.
1. What is the GCD of 585, 576, 702, 520?
GCD of given numbers 585, 576, 702, 520 is 1
2. How to calculate the greatest common divisor of 585, 576, 702, 520?
We can find the highest common divisor of 585, 576, 702, 520 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, 576, 702, 520 i.e 1.
3. How can I use the GCD of 585, 576, 702, 520Calculator?
Out the numbers 585, 576, 702, 520 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.