Online GCD Calculator is useful to find the GCD of 302, 104, 238 quickly. Get the easiest ways to solve the greatest common divisor of 302, 104, 238 i.e 2 in different methods as follows.
Given Input numbers are 302, 104, 238
In the factoring method, we have to find the divisors of all numbers
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
GCD of numbers is the greatest common divisor
So, the GCD (302, 104, 238) = 2.
Given numbers are 302, 104, 238
The list of prime factors of all numbers are
Prime factors of 302 are 2 x 151
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 238 are 2 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 302, 104, 238 is 2.
Given numbers are 302, 104, 238
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(302, 104) = 15704
GCD(302, 104) = ( 302 x 104 ) / 15704
= 302 / 104
= 302
Step2:
LCM(2, 238) = 238
GCD(2, 238) = ( 2 x 238 ) / 238
= 2 / 238
= 2
So, Greatest Common Divisor of 302, 104, 238 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 302, 104, 238
The greatest common divisor of numbers 302, 104, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 104, 238 is 2.
1. What is the GCD of 302, 104, 238?
GCD of given numbers 302, 104, 238 is 2
2. How to calculate the greatest common divisor of 302, 104, 238?
We can find the highest common divisor of 302, 104, 238 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 302, 104, 238 i.e 2.
3. How can I use the GCD of 302, 104, 238Calculator?
Out the numbers 302, 104, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.