Online GCD Calculator is useful to find the GCD of 118, 916, 308, 182 quickly. Get the easiest ways to solve the greatest common divisor of 118, 916, 308, 182 i.e 2 in different methods as follows.
Given Input numbers are 118, 916, 308, 182
In the factoring method, we have to find the divisors of all numbers
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
GCD of numbers is the greatest common divisor
So, the GCD (118, 916, 308, 182) = 2.
Given numbers are 118, 916, 308, 182
The list of prime factors of all numbers are
Prime factors of 118 are 2 x 59
Prime factors of 916 are 2 x 2 x 229
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 182 are 2 x 7 x 13
The highest common occurrence is 21
Therefore, GCD of 118, 916, 308, 182 is 2.
Given numbers are 118, 916, 308, 182
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(118, 916) = 54044
GCD(118, 916) = ( 118 x 916 ) / 54044
= 118 / 916
= 118
Step2:
LCM(2, 308) = 308
GCD(2, 308) = ( 2 x 308 ) / 308
= 2 / 308
= 2
Step3:
LCM(2, 182) = 182
GCD(2, 182) = ( 2 x 182 ) / 182
= 2 / 182
= 2
So, Greatest Common Divisor of 118, 916, 308, 182 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 118, 916, 308, 182
The greatest common divisor of numbers 118, 916, 308, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 916, 308, 182 is 2.
1. What is the GCD of 118, 916, 308, 182?
GCD of given numbers 118, 916, 308, 182 is 2
2. How to calculate the greatest common divisor of 118, 916, 308, 182?
We can find the highest common divisor of 118, 916, 308, 182 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 118, 916, 308, 182 i.e 2.
3. How can I use the GCD of 118, 916, 308, 182Calculator?
Out the numbers 118, 916, 308, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.