Online GCD Calculator is useful to find the GCD of 338, 908, 587, 208 quickly. Get the easiest ways to solve the greatest common divisor of 338, 908, 587, 208 i.e 1 in different methods as follows.
Given Input numbers are 338, 908, 587, 208
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 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 587 :
The positive integer divisors of 587 that completely divides 587 are.
1, 587
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD of numbers is the greatest common divisor
So, the GCD (338, 908, 587, 208) = 1.
Given numbers are 338, 908, 587, 208
The list of prime factors of all numbers are
Prime factors of 338 are 2 x 13 x 13
Prime factors of 908 are 2 x 2 x 227
Prime factors of 587 are 587
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 338, 908, 587, 208
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(338, 908) = 153452
GCD(338, 908) = ( 338 x 908 ) / 153452
= 338 / 908
= 338
Step2:
LCM(2, 587) = 1174
GCD(2, 587) = ( 2 x 587 ) / 1174
= 2 / 587
= 2
Step3:
LCM(1, 208) = 208
GCD(1, 208) = ( 1 x 208 ) / 208
= 1 / 208
= 1
So, Greatest Common Divisor of 338, 908, 587, 208 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 338, 908, 587, 208
The greatest common divisor of numbers 338, 908, 587, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 908, 587, 208 is 1.
1. What is the GCD of 338, 908, 587, 208?
GCD of given numbers 338, 908, 587, 208 is 1
2. How to calculate the greatest common divisor of 338, 908, 587, 208?
We can find the highest common divisor of 338, 908, 587, 208 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, 908, 587, 208 i.e 1.
3. How can I use the GCD of 338, 908, 587, 208Calculator?
Out the numbers 338, 908, 587, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.