Online GCD Calculator is useful to find the GCD of 180, 585, 314, 652 quickly. Get the easiest ways to solve the greatest common divisor of 180, 585, 314, 652 i.e 1 in different methods as follows.
Given Input numbers are 180, 585, 314, 652
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
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 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
GCD of numbers is the greatest common divisor
So, the GCD (180, 585, 314, 652) = 1.
Given numbers are 180, 585, 314, 652
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 314 are 2 x 157
Prime factors of 652 are 2 x 2 x 163
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 180, 585, 314, 652
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 585) = 2340
GCD(180, 585) = ( 180 x 585 ) / 2340
= 180 / 585
= 180
Step2:
LCM(45, 314) = 14130
GCD(45, 314) = ( 45 x 314 ) / 14130
= 45 / 314
= 45
Step3:
LCM(1, 652) = 652
GCD(1, 652) = ( 1 x 652 ) / 652
= 1 / 652
= 1
So, Greatest Common Divisor of 180, 585, 314, 652 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 585, 314, 652
The greatest common divisor of numbers 180, 585, 314, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 585, 314, 652 is 1.
1. What is the GCD of 180, 585, 314, 652?
GCD of given numbers 180, 585, 314, 652 is 1
2. How to calculate the greatest common divisor of 180, 585, 314, 652?
We can find the highest common divisor of 180, 585, 314, 652 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 180, 585, 314, 652 i.e 1.
3. How can I use the GCD of 180, 585, 314, 652Calculator?
Out the numbers 180, 585, 314, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.