Online GCD Calculator is useful to find the GCD of 558, 624, 504 quickly. Get the easiest ways to solve the greatest common divisor of 558, 624, 504 i.e 6 in different methods as follows.
Given Input numbers are 558, 624, 504
In the factoring method, we have to find the divisors of all numbers
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
GCD of numbers is the greatest common divisor
So, the GCD (558, 624, 504) = 6.
Given numbers are 558, 624, 504
The list of prime factors of all numbers are
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
The highest common occurrence is 21 x 31
Therefore, GCD of 558, 624, 504 is 6.
Given numbers are 558, 624, 504
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(558, 624) = 58032
GCD(558, 624) = ( 558 x 624 ) / 58032
= 558 / 624
= 558
Step2:
LCM(6, 504) = 504
GCD(6, 504) = ( 6 x 504 ) / 504
= 6 / 504
= 6
So, Greatest Common Divisor of 558, 624, 504 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 558, 624, 504
The greatest common divisor of numbers 558, 624, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 624, 504 is 6.
1. What is the GCD of 558, 624, 504?
GCD of given numbers 558, 624, 504 is 6
2. How to calculate the greatest common divisor of 558, 624, 504?
We can find the highest common divisor of 558, 624, 504 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 558, 624, 504 i.e 6.
3. How can I use the GCD of 558, 624, 504Calculator?
Out the numbers 558, 624, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.