Online GCD Calculator is useful to find the GCD of 116, 102, 338 quickly. Get the easiest ways to solve the greatest common divisor of 116, 102, 338 i.e 2 in different methods as follows.
Given Input numbers are 116, 102, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (116, 102, 338) = 2.
Given numbers are 116, 102, 338
The list of prime factors of all numbers are
Prime factors of 116 are 2 x 2 x 29
Prime factors of 102 are 2 x 3 x 17
Prime factors of 338 are 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 116, 102, 338 is 2.
Given numbers are 116, 102, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(116, 102) = 5916
GCD(116, 102) = ( 116 x 102 ) / 5916
= 116 / 102
= 116
Step2:
LCM(2, 338) = 338
GCD(2, 338) = ( 2 x 338 ) / 338
= 2 / 338
= 2
So, Greatest Common Divisor of 116, 102, 338 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 116, 102, 338
The greatest common divisor of numbers 116, 102, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 102, 338 is 2.
1. What is the GCD of 116, 102, 338?
GCD of given numbers 116, 102, 338 is 2
2. How to calculate the greatest common divisor of 116, 102, 338?
We can find the highest common divisor of 116, 102, 338 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 116, 102, 338 i.e 2.
3. How can I use the GCD of 116, 102, 338Calculator?
Out the numbers 116, 102, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.