Online GCD Calculator is useful to find the GCD of 318, 298, 146, 916 quickly. Get the easiest ways to solve the greatest common divisor of 318, 298, 146, 916 i.e 2 in different methods as follows.
Given Input numbers are 318, 298, 146, 916
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 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 146 :
The positive integer divisors of 146 that completely divides 146 are.
1, 2, 73, 146
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (318, 298, 146, 916) = 2.
Given numbers are 318, 298, 146, 916
The list of prime factors of all numbers are
Prime factors of 318 are 2 x 3 x 53
Prime factors of 298 are 2 x 149
Prime factors of 146 are 2 x 73
Prime factors of 916 are 2 x 2 x 229
The highest common occurrence is 21
Therefore, GCD of 318, 298, 146, 916 is 2.
Given numbers are 318, 298, 146, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(318, 298) = 47382
GCD(318, 298) = ( 318 x 298 ) / 47382
= 318 / 298
= 318
Step2:
LCM(2, 146) = 146
GCD(2, 146) = ( 2 x 146 ) / 146
= 2 / 146
= 2
Step3:
LCM(2, 916) = 916
GCD(2, 916) = ( 2 x 916 ) / 916
= 2 / 916
= 2
So, Greatest Common Divisor of 318, 298, 146, 916 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 318, 298, 146, 916
The greatest common divisor of numbers 318, 298, 146, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 298, 146, 916 is 2.
1. What is the GCD of 318, 298, 146, 916?
GCD of given numbers 318, 298, 146, 916 is 2
2. How to calculate the greatest common divisor of 318, 298, 146, 916?
We can find the highest common divisor of 318, 298, 146, 916 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, 298, 146, 916 i.e 2.
3. How can I use the GCD of 318, 298, 146, 916Calculator?
Out the numbers 318, 298, 146, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.