Online GCD Calculator is useful to find the GCD of 522, 564, 324, 561 quickly. Get the easiest ways to solve the greatest common divisor of 522, 564, 324, 561 i.e 3 in different methods as follows.
Given Input numbers are 522, 564, 324, 561
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 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
GCD of numbers is the greatest common divisor
So, the GCD (522, 564, 324, 561) = 3.
Given numbers are 522, 564, 324, 561
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 561 are 3 x 11 x 17
The highest common occurrence is 31
Therefore, GCD of 522, 564, 324, 561 is 3.
Given numbers are 522, 564, 324, 561
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 564) = 49068
GCD(522, 564) = ( 522 x 564 ) / 49068
= 522 / 564
= 522
Step2:
LCM(6, 324) = 324
GCD(6, 324) = ( 6 x 324 ) / 324
= 6 / 324
= 6
Step3:
LCM(6, 561) = 1122
GCD(6, 561) = ( 6 x 561 ) / 1122
= 6 / 561
= 6
So, Greatest Common Divisor of 522, 564, 324, 561 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 564, 324, 561
The greatest common divisor of numbers 522, 564, 324, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 564, 324, 561 is 3.
1. What is the GCD of 522, 564, 324, 561?
GCD of given numbers 522, 564, 324, 561 is 3
2. How to calculate the greatest common divisor of 522, 564, 324, 561?
We can find the highest common divisor of 522, 564, 324, 561 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, 564, 324, 561 i.e 3.
3. How can I use the GCD of 522, 564, 324, 561Calculator?
Out the numbers 522, 564, 324, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.