Online GCD Calculator is useful to find the GCD of 382, 442, 507, 589 quickly. Get the easiest ways to solve the greatest common divisor of 382, 442, 507, 589 i.e 1 in different methods as follows.
Given Input numbers are 382, 442, 507, 589
In the factoring method, we have to find the divisors of all numbers
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
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 (382, 442, 507, 589) = 1.
Given numbers are 382, 442, 507, 589
The list of prime factors of all numbers are
Prime factors of 382 are 2 x 191
Prime factors of 442 are 2 x 13 x 17
Prime factors of 507 are 3 x 13 x 13
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 382, 442, 507, 589
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(382, 442) = 84422
GCD(382, 442) = ( 382 x 442 ) / 84422
= 382 / 442
= 382
Step2:
LCM(2, 507) = 1014
GCD(2, 507) = ( 2 x 507 ) / 1014
= 2 / 507
= 2
Step3:
LCM(1, 589) = 589
GCD(1, 589) = ( 1 x 589 ) / 589
= 1 / 589
= 1
So, Greatest Common Divisor of 382, 442, 507, 589 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 382, 442, 507, 589
The greatest common divisor of numbers 382, 442, 507, 589 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 442, 507, 589 is 1.
1. What is the GCD of 382, 442, 507, 589?
GCD of given numbers 382, 442, 507, 589 is 1
2. How to calculate the greatest common divisor of 382, 442, 507, 589?
We can find the highest common divisor of 382, 442, 507, 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 382, 442, 507, 589 i.e 1.
3. How can I use the GCD of 382, 442, 507, 589Calculator?
Out the numbers 382, 442, 507, 589 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.