Online GCD Calculator is useful to find the GCD of 504, 460, 456, 170 quickly. Get the easiest ways to solve the greatest common divisor of 504, 460, 456, 170 i.e 2 in different methods as follows.
Given Input numbers are 504, 460, 456, 170
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 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
GCD of numbers is the greatest common divisor
So, the GCD (504, 460, 456, 170) = 2.
Given numbers are 504, 460, 456, 170
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 460 are 2 x 2 x 5 x 23
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 170 are 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 504, 460, 456, 170 is 2.
Given numbers are 504, 460, 456, 170
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 460) = 57960
GCD(504, 460) = ( 504 x 460 ) / 57960
= 504 / 460
= 504
Step2:
LCM(4, 456) = 456
GCD(4, 456) = ( 4 x 456 ) / 456
= 4 / 456
= 4
Step3:
LCM(4, 170) = 340
GCD(4, 170) = ( 4 x 170 ) / 340
= 4 / 170
= 4
So, Greatest Common Divisor of 504, 460, 456, 170 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 460, 456, 170
The greatest common divisor of numbers 504, 460, 456, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 460, 456, 170 is 2.
1. What is the GCD of 504, 460, 456, 170?
GCD of given numbers 504, 460, 456, 170 is 2
2. How to calculate the greatest common divisor of 504, 460, 456, 170?
We can find the highest common divisor of 504, 460, 456, 170 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, 460, 456, 170 i.e 2.
3. How can I use the GCD of 504, 460, 456, 170Calculator?
Out the numbers 504, 460, 456, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.