Online GCD Calculator is useful to find the GCD of 684, 516, 504, 472 quickly. Get the easiest ways to solve the greatest common divisor of 684, 516, 504, 472 i.e 4 in different methods as follows.
Given Input numbers are 684, 516, 504, 472
In the factoring method, we have to find the divisors of all numbers
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
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
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
GCD of numbers is the greatest common divisor
So, the GCD (684, 516, 504, 472) = 4.
Given numbers are 684, 516, 504, 472
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 472 are 2 x 2 x 2 x 59
The highest common occurrence is 22
Therefore, GCD of 684, 516, 504, 472 is 4.
Given numbers are 684, 516, 504, 472
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 516) = 29412
GCD(684, 516) = ( 684 x 516 ) / 29412
= 684 / 516
= 684
Step2:
LCM(12, 504) = 504
GCD(12, 504) = ( 12 x 504 ) / 504
= 12 / 504
= 12
Step3:
LCM(12, 472) = 1416
GCD(12, 472) = ( 12 x 472 ) / 1416
= 12 / 472
= 12
So, Greatest Common Divisor of 684, 516, 504, 472 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 516, 504, 472
The greatest common divisor of numbers 684, 516, 504, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 516, 504, 472 is 4.
1. What is the GCD of 684, 516, 504, 472?
GCD of given numbers 684, 516, 504, 472 is 4
2. How to calculate the greatest common divisor of 684, 516, 504, 472?
We can find the highest common divisor of 684, 516, 504, 472 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 684, 516, 504, 472 i.e 4.
3. How can I use the GCD of 684, 516, 504, 472Calculator?
Out the numbers 684, 516, 504, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.