Online GCD Calculator is useful to find the GCD of 310, 118, 272, 104 quickly. Get the easiest ways to solve the greatest common divisor of 310, 118, 272, 104 i.e 2 in different methods as follows.
Given Input numbers are 310, 118, 272, 104
In the factoring method, we have to find the divisors of all numbers
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
GCD of numbers is the greatest common divisor
So, the GCD (310, 118, 272, 104) = 2.
Given numbers are 310, 118, 272, 104
The list of prime factors of all numbers are
Prime factors of 310 are 2 x 5 x 31
Prime factors of 118 are 2 x 59
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 104 are 2 x 2 x 2 x 13
The highest common occurrence is 21
Therefore, GCD of 310, 118, 272, 104 is 2.
Given numbers are 310, 118, 272, 104
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(310, 118) = 18290
GCD(310, 118) = ( 310 x 118 ) / 18290
= 310 / 118
= 310
Step2:
LCM(2, 272) = 272
GCD(2, 272) = ( 2 x 272 ) / 272
= 2 / 272
= 2
Step3:
LCM(2, 104) = 104
GCD(2, 104) = ( 2 x 104 ) / 104
= 2 / 104
= 2
So, Greatest Common Divisor of 310, 118, 272, 104 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 310, 118, 272, 104
The greatest common divisor of numbers 310, 118, 272, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 118, 272, 104 is 2.
1. What is the GCD of 310, 118, 272, 104?
GCD of given numbers 310, 118, 272, 104 is 2
2. How to calculate the greatest common divisor of 310, 118, 272, 104?
We can find the highest common divisor of 310, 118, 272, 104 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 310, 118, 272, 104 i.e 2.
3. How can I use the GCD of 310, 118, 272, 104Calculator?
Out the numbers 310, 118, 272, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.