Online GCD Calculator is useful to find the GCD of 209, 238, 516, 338 quickly. Get the easiest ways to solve the greatest common divisor of 209, 238, 516, 338 i.e 1 in different methods as follows.
Given Input numbers are 209, 238, 516, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (209, 238, 516, 338) = 1.
Given numbers are 209, 238, 516, 338
The list of prime factors of all numbers are
Prime factors of 209 are 11 x 19
Prime factors of 238 are 2 x 7 x 17
Prime factors of 516 are 2 x 2 x 3 x 43
Prime factors of 338 are 2 x 13 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 209, 238, 516, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(209, 238) = 49742
GCD(209, 238) = ( 209 x 238 ) / 49742
= 209 / 238
= 209
Step2:
LCM(1, 516) = 516
GCD(1, 516) = ( 1 x 516 ) / 516
= 1 / 516
= 1
Step3:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
So, Greatest Common Divisor of 209, 238, 516, 338 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 209, 238, 516, 338
The greatest common divisor of numbers 209, 238, 516, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 238, 516, 338 is 1.
1. What is the GCD of 209, 238, 516, 338?
GCD of given numbers 209, 238, 516, 338 is 1
2. How to calculate the greatest common divisor of 209, 238, 516, 338?
We can find the highest common divisor of 209, 238, 516, 338 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 209, 238, 516, 338 i.e 1.
3. How can I use the GCD of 209, 238, 516, 338Calculator?
Out the numbers 209, 238, 516, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.