Online GCD Calculator is useful to find the GCD of 104, 446, 438, 238 quickly. Get the easiest ways to solve the greatest common divisor of 104, 446, 438, 238 i.e 2 in different methods as follows.
Given Input numbers are 104, 446, 438, 238
In the factoring method, we have to find the divisors of all numbers
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
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 (104, 446, 438, 238) = 2.
Given numbers are 104, 446, 438, 238
The list of prime factors of all numbers are
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 446 are 2 x 223
Prime factors of 438 are 2 x 3 x 73
Prime factors of 238 are 2 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 104, 446, 438, 238 is 2.
Given numbers are 104, 446, 438, 238
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(104, 446) = 23192
GCD(104, 446) = ( 104 x 446 ) / 23192
= 104 / 446
= 104
Step2:
LCM(2, 438) = 438
GCD(2, 438) = ( 2 x 438 ) / 438
= 2 / 438
= 2
Step3:
LCM(2, 238) = 238
GCD(2, 238) = ( 2 x 238 ) / 238
= 2 / 238
= 2
So, Greatest Common Divisor of 104, 446, 438, 238 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 104, 446, 438, 238
The greatest common divisor of numbers 104, 446, 438, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 446, 438, 238 is 2.
1. What is the GCD of 104, 446, 438, 238?
GCD of given numbers 104, 446, 438, 238 is 2
2. How to calculate the greatest common divisor of 104, 446, 438, 238?
We can find the highest common divisor of 104, 446, 438, 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 104, 446, 438, 238 i.e 2.
3. How can I use the GCD of 104, 446, 438, 238Calculator?
Out the numbers 104, 446, 438, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.