Online GCD Calculator is useful to find the GCD of 508, 104, 918 quickly. Get the easiest ways to solve the greatest common divisor of 508, 104, 918 i.e 2 in different methods as follows.
Given Input numbers are 508, 104, 918
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 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
GCD of numbers is the greatest common divisor
So, the GCD (508, 104, 918) = 2.
Given numbers are 508, 104, 918
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 508, 104, 918 is 2.
Given numbers are 508, 104, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 104) = 13208
GCD(508, 104) = ( 508 x 104 ) / 13208
= 508 / 104
= 508
Step2:
LCM(4, 918) = 1836
GCD(4, 918) = ( 4 x 918 ) / 1836
= 4 / 918
= 4
So, Greatest Common Divisor of 508, 104, 918 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 104, 918
The greatest common divisor of numbers 508, 104, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 104, 918 is 2.
1. What is the GCD of 508, 104, 918?
GCD of given numbers 508, 104, 918 is 2
2. How to calculate the greatest common divisor of 508, 104, 918?
We can find the highest common divisor of 508, 104, 918 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, 104, 918 i.e 2.
3. How can I use the GCD of 508, 104, 918Calculator?
Out the numbers 508, 104, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.