Online GCD Calculator is useful to find the GCD of 504, 231, 168, 915 quickly. Get the easiest ways to solve the greatest common divisor of 504, 231, 168, 915 i.e 3 in different methods as follows.
Given Input numbers are 504, 231, 168, 915
In the factoring method, we have to find the divisors of all numbers
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 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 915 :
The positive integer divisors of 915 that completely divides 915 are.
1, 3, 5, 15, 61, 183, 305, 915
GCD of numbers is the greatest common divisor
So, the GCD (504, 231, 168, 915) = 3.
Given numbers are 504, 231, 168, 915
The list of prime factors of all numbers are
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 231 are 3 x 7 x 11
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 915 are 3 x 5 x 61
The highest common occurrence is 31
Therefore, GCD of 504, 231, 168, 915 is 3.
Given numbers are 504, 231, 168, 915
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 231) = 5544
GCD(504, 231) = ( 504 x 231 ) / 5544
= 504 / 231
= 504
Step2:
LCM(21, 168) = 168
GCD(21, 168) = ( 21 x 168 ) / 168
= 21 / 168
= 21
Step3:
LCM(21, 915) = 6405
GCD(21, 915) = ( 21 x 915 ) / 6405
= 21 / 915
= 21
So, Greatest Common Divisor of 504, 231, 168, 915 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 231, 168, 915
The greatest common divisor of numbers 504, 231, 168, 915 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 231, 168, 915 is 3.
1. What is the GCD of 504, 231, 168, 915?
GCD of given numbers 504, 231, 168, 915 is 3
2. How to calculate the greatest common divisor of 504, 231, 168, 915?
We can find the highest common divisor of 504, 231, 168, 915 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 504, 231, 168, 915 i.e 3.
3. How can I use the GCD of 504, 231, 168, 915Calculator?
Out the numbers 504, 231, 168, 915 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.