Online GCD Calculator is useful to find the GCD of 504, 146, 310, 820 quickly. Get the easiest ways to solve the greatest common divisor of 504, 146, 310, 820 i.e 2 in different methods as follows.
Given Input numbers are 504, 146, 310, 820
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 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (504, 146, 310, 820) = 2.
Given numbers are 504, 146, 310, 820
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 146 are 2 x 73
Prime factors of 310 are 2 x 5 x 31
Prime factors of 820 are 2 x 2 x 5 x 41
The highest common occurrence is 21
Therefore, GCD of 504, 146, 310, 820 is 2.
Given numbers are 504, 146, 310, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(504, 146) = 36792
GCD(504, 146) = ( 504 x 146 ) / 36792
= 504 / 146
= 504
Step2:
LCM(2, 310) = 310
GCD(2, 310) = ( 2 x 310 ) / 310
= 2 / 310
= 2
Step3:
LCM(2, 820) = 820
GCD(2, 820) = ( 2 x 820 ) / 820
= 2 / 820
= 2
So, Greatest Common Divisor of 504, 146, 310, 820 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 504, 146, 310, 820
The greatest common divisor of numbers 504, 146, 310, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 146, 310, 820 is 2.
1. What is the GCD of 504, 146, 310, 820?
GCD of given numbers 504, 146, 310, 820 is 2
2. How to calculate the greatest common divisor of 504, 146, 310, 820?
We can find the highest common divisor of 504, 146, 310, 820 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, 146, 310, 820 i.e 2.
3. How can I use the GCD of 504, 146, 310, 820Calculator?
Out the numbers 504, 146, 310, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.