Online GCD Calculator is useful to find the GCD of 318, 508, 486, 234 quickly. Get the easiest ways to solve the greatest common divisor of 318, 508, 486, 234 i.e 2 in different methods as follows.
Given Input numbers are 318, 508, 486, 234
In the factoring method, we have to find the divisors of all numbers
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
GCD of numbers is the greatest common divisor
So, the GCD (318, 508, 486, 234) = 2.
Given numbers are 318, 508, 486, 234
The list of prime factors of all numbers are
Prime factors of 318 are 2 x 3 x 53
Prime factors of 508 are 2 x 2 x 127
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 234 are 2 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 318, 508, 486, 234 is 2.
Given numbers are 318, 508, 486, 234
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(318, 508) = 80772
GCD(318, 508) = ( 318 x 508 ) / 80772
= 318 / 508
= 318
Step2:
LCM(2, 486) = 486
GCD(2, 486) = ( 2 x 486 ) / 486
= 2 / 486
= 2
Step3:
LCM(2, 234) = 234
GCD(2, 234) = ( 2 x 234 ) / 234
= 2 / 234
= 2
So, Greatest Common Divisor of 318, 508, 486, 234 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 318, 508, 486, 234
The greatest common divisor of numbers 318, 508, 486, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 508, 486, 234 is 2.
1. What is the GCD of 318, 508, 486, 234?
GCD of given numbers 318, 508, 486, 234 is 2
2. How to calculate the greatest common divisor of 318, 508, 486, 234?
We can find the highest common divisor of 318, 508, 486, 234 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 318, 508, 486, 234 i.e 2.
3. How can I use the GCD of 318, 508, 486, 234Calculator?
Out the numbers 318, 508, 486, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.