Online GCD Calculator is useful to find the GCD of 338, 303, 320, 234 quickly. Get the easiest ways to solve the greatest common divisor of 338, 303, 320, 234 i.e 1 in different methods as follows.
Given Input numbers are 338, 303, 320, 234
In the factoring method, we have to find the divisors of all numbers
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 303 :
The positive integer divisors of 303 that completely divides 303 are.
1, 3, 101, 303
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
GCD of numbers is the greatest common divisor
So, the GCD (338, 303, 320, 234) = 1.
Given numbers are 338, 303, 320, 234
The list of prime factors of all numbers are
Prime factors of 338 are 2 x 13 x 13
Prime factors of 303 are 3 x 101
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 234 are 2 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 338, 303, 320, 234
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(338, 303) = 102414
GCD(338, 303) = ( 338 x 303 ) / 102414
= 338 / 303
= 338
Step2:
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
= 1 / 320
= 1
Step3:
LCM(1, 234) = 234
GCD(1, 234) = ( 1 x 234 ) / 234
= 1 / 234
= 1
So, Greatest Common Divisor of 338, 303, 320, 234 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 338, 303, 320, 234
The greatest common divisor of numbers 338, 303, 320, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 303, 320, 234 is 1.
1. What is the GCD of 338, 303, 320, 234?
GCD of given numbers 338, 303, 320, 234 is 1
2. How to calculate the greatest common divisor of 338, 303, 320, 234?
We can find the highest common divisor of 338, 303, 320, 234 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 338, 303, 320, 234 i.e 1.
3. How can I use the GCD of 338, 303, 320, 234Calculator?
Out the numbers 338, 303, 320, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.