Online GCD Calculator is useful to find the GCD of 504, 783, 171 quickly. Get the easiest ways to solve the greatest common divisor of 504, 783, 171 i.e 9 in different methods as follows.
Given Input numbers are 504, 783, 171
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 783 :
The positive integer divisors of 783 that completely divides 783 are.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
GCD of numbers is the greatest common divisor
So, the GCD (504, 783, 171) = 9.
Given numbers are 504, 783, 171
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 783 are 3 x 3 x 3 x 29
Prime factors of 171 are 3 x 3 x 19
The highest common occurrence is 32
Therefore, GCD of 504, 783, 171 is 9.
Given numbers are 504, 783, 171
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 783) = 43848
GCD(504, 783) = ( 504 x 783 ) / 43848
= 504 / 783
= 504
Step2:
LCM(9, 171) = 171
GCD(9, 171) = ( 9 x 171 ) / 171
= 9 / 171
= 9
So, Greatest Common Divisor of 504, 783, 171 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 783, 171
The greatest common divisor of numbers 504, 783, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 783, 171 is 9.
1. What is the GCD of 504, 783, 171?
GCD of given numbers 504, 783, 171 is 9
2. How to calculate the greatest common divisor of 504, 783, 171?
We can find the highest common divisor of 504, 783, 171 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, 783, 171 i.e 9.
3. How can I use the GCD of 504, 783, 171Calculator?
Out the numbers 504, 783, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.