Online GCD Calculator is useful to find the GCD of 368, 814, 361, 589 quickly. Get the easiest ways to solve the greatest common divisor of 368, 814, 361, 589 i.e 1 in different methods as follows.
Given Input numbers are 368, 814, 361, 589
In the factoring method, we have to find the divisors of all numbers
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
GCD of numbers is the greatest common divisor
So, the GCD (368, 814, 361, 589) = 1.
Given numbers are 368, 814, 361, 589
The list of prime factors of all numbers are
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 814 are 2 x 11 x 37
Prime factors of 361 are 19 x 19
Prime factors of 589 are 19 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 368, 814, 361, 589
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(368, 814) = 149776
GCD(368, 814) = ( 368 x 814 ) / 149776
= 368 / 814
= 368
Step2:
LCM(2, 361) = 722
GCD(2, 361) = ( 2 x 361 ) / 722
= 2 / 361
= 2
Step3:
LCM(1, 589) = 589
GCD(1, 589) = ( 1 x 589 ) / 589
= 1 / 589
= 1
So, Greatest Common Divisor of 368, 814, 361, 589 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 368, 814, 361, 589
The greatest common divisor of numbers 368, 814, 361, 589 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 814, 361, 589 is 1.
1. What is the GCD of 368, 814, 361, 589?
GCD of given numbers 368, 814, 361, 589 is 1
2. How to calculate the greatest common divisor of 368, 814, 361, 589?
We can find the highest common divisor of 368, 814, 361, 589 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 368, 814, 361, 589 i.e 1.
3. How can I use the GCD of 368, 814, 361, 589Calculator?
Out the numbers 368, 814, 361, 589 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.