Online GCD Calculator is useful to find the GCD of 138, 338, 758, 302 quickly. Get the easiest ways to solve the greatest common divisor of 138, 338, 758, 302 i.e 2 in different methods as follows.
Given Input numbers are 138, 338, 758, 302
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
GCD of numbers is the greatest common divisor
So, the GCD (138, 338, 758, 302) = 2.
Given numbers are 138, 338, 758, 302
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 338 are 2 x 13 x 13
Prime factors of 758 are 2 x 379
Prime factors of 302 are 2 x 151
The highest common occurrence is 21
Therefore, GCD of 138, 338, 758, 302 is 2.
Given numbers are 138, 338, 758, 302
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 338) = 23322
GCD(138, 338) = ( 138 x 338 ) / 23322
= 138 / 338
= 138
Step2:
LCM(2, 758) = 758
GCD(2, 758) = ( 2 x 758 ) / 758
= 2 / 758
= 2
Step3:
LCM(2, 302) = 302
GCD(2, 302) = ( 2 x 302 ) / 302
= 2 / 302
= 2
So, Greatest Common Divisor of 138, 338, 758, 302 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 338, 758, 302
The greatest common divisor of numbers 138, 338, 758, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 338, 758, 302 is 2.
1. What is the GCD of 138, 338, 758, 302?
GCD of given numbers 138, 338, 758, 302 is 2
2. How to calculate the greatest common divisor of 138, 338, 758, 302?
We can find the highest common divisor of 138, 338, 758, 302 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 138, 338, 758, 302 i.e 2.
3. How can I use the GCD of 138, 338, 758, 302Calculator?
Out the numbers 138, 338, 758, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.