Online GCD Calculator is useful to find the GCD of 522, 180, 570, 579 quickly. Get the easiest ways to solve the greatest common divisor of 522, 180, 570, 579 i.e 3 in different methods as follows.
Given Input numbers are 522, 180, 570, 579
In the factoring method, we have to find the divisors of all numbers
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
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 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 579 :
The positive integer divisors of 579 that completely divides 579 are.
1, 3, 193, 579
GCD of numbers is the greatest common divisor
So, the GCD (522, 180, 570, 579) = 3.
Given numbers are 522, 180, 570, 579
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 579 are 3 x 193
The highest common occurrence is 31
Therefore, GCD of 522, 180, 570, 579 is 3.
Given numbers are 522, 180, 570, 579
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 180) = 5220
GCD(522, 180) = ( 522 x 180 ) / 5220
= 522 / 180
= 522
Step2:
LCM(18, 570) = 1710
GCD(18, 570) = ( 18 x 570 ) / 1710
= 18 / 570
= 18
Step3:
LCM(6, 579) = 1158
GCD(6, 579) = ( 6 x 579 ) / 1158
= 6 / 579
= 6
So, Greatest Common Divisor of 522, 180, 570, 579 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 180, 570, 579
The greatest common divisor of numbers 522, 180, 570, 579 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 180, 570, 579 is 3.
1. What is the GCD of 522, 180, 570, 579?
GCD of given numbers 522, 180, 570, 579 is 3
2. How to calculate the greatest common divisor of 522, 180, 570, 579?
We can find the highest common divisor of 522, 180, 570, 579 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 522, 180, 570, 579 i.e 3.
3. How can I use the GCD of 522, 180, 570, 579Calculator?
Out the numbers 522, 180, 570, 579 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.