Online GCD Calculator is useful to find the GCD of 226, 194, 238, 138 quickly. Get the easiest ways to solve the greatest common divisor of 226, 194, 238, 138 i.e 2 in different methods as follows.
Given Input numbers are 226, 194, 238, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 226 :
The positive integer divisors of 226 that completely divides 226 are.
1, 2, 113, 226
Divisors of 194 :
The positive integer divisors of 194 that completely divides 194 are.
1, 2, 97, 194
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (226, 194, 238, 138) = 2.
Given numbers are 226, 194, 238, 138
The list of prime factors of all numbers are
Prime factors of 226 are 2 x 113
Prime factors of 194 are 2 x 97
Prime factors of 238 are 2 x 7 x 17
Prime factors of 138 are 2 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 226, 194, 238, 138 is 2.
Given numbers are 226, 194, 238, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(226, 194) = 21922
GCD(226, 194) = ( 226 x 194 ) / 21922
= 226 / 194
= 226
Step2:
LCM(2, 238) = 238
GCD(2, 238) = ( 2 x 238 ) / 238
= 2 / 238
= 2
Step3:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
So, Greatest Common Divisor of 226, 194, 238, 138 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 226, 194, 238, 138
The greatest common divisor of numbers 226, 194, 238, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 226, 194, 238, 138 is 2.
1. What is the GCD of 226, 194, 238, 138?
GCD of given numbers 226, 194, 238, 138 is 2
2. How to calculate the greatest common divisor of 226, 194, 238, 138?
We can find the highest common divisor of 226, 194, 238, 138 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 226, 194, 238, 138 i.e 2.
3. How can I use the GCD of 226, 194, 238, 138Calculator?
Out the numbers 226, 194, 238, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.