Online GCD Calculator is useful to find the GCD of 508, 512, 370, 468 quickly. Get the easiest ways to solve the greatest common divisor of 508, 512, 370, 468 i.e 2 in different methods as follows.
Given Input numbers are 508, 512, 370, 468
In the factoring method, we have to find the divisors of all numbers
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
GCD of numbers is the greatest common divisor
So, the GCD (508, 512, 370, 468) = 2.
Given numbers are 508, 512, 370, 468
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 370 are 2 x 5 x 37
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 508, 512, 370, 468 is 2.
Given numbers are 508, 512, 370, 468
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 512) = 65024
GCD(508, 512) = ( 508 x 512 ) / 65024
= 508 / 512
= 508
Step2:
LCM(4, 370) = 740
GCD(4, 370) = ( 4 x 370 ) / 740
= 4 / 370
= 4
Step3:
LCM(2, 468) = 468
GCD(2, 468) = ( 2 x 468 ) / 468
= 2 / 468
= 2
So, Greatest Common Divisor of 508, 512, 370, 468 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 512, 370, 468
The greatest common divisor of numbers 508, 512, 370, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 512, 370, 468 is 2.
1. What is the GCD of 508, 512, 370, 468?
GCD of given numbers 508, 512, 370, 468 is 2
2. How to calculate the greatest common divisor of 508, 512, 370, 468?
We can find the highest common divisor of 508, 512, 370, 468 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 508, 512, 370, 468 i.e 2.
3. How can I use the GCD of 508, 512, 370, 468Calculator?
Out the numbers 508, 512, 370, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.