Online GCD Calculator is useful to find the GCD of 459, 507, 238, 424 quickly. Get the easiest ways to solve the greatest common divisor of 459, 507, 238, 424 i.e 1 in different methods as follows.
Given Input numbers are 459, 507, 238, 424
In the factoring method, we have to find the divisors of all numbers
Divisors of 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
GCD of numbers is the greatest common divisor
So, the GCD (459, 507, 238, 424) = 1.
Given numbers are 459, 507, 238, 424
The list of prime factors of all numbers are
Prime factors of 459 are 3 x 3 x 3 x 17
Prime factors of 507 are 3 x 13 x 13
Prime factors of 238 are 2 x 7 x 17
Prime factors of 424 are 2 x 2 x 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 459, 507, 238, 424
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(459, 507) = 77571
GCD(459, 507) = ( 459 x 507 ) / 77571
= 459 / 507
= 459
Step2:
LCM(3, 238) = 714
GCD(3, 238) = ( 3 x 238 ) / 714
= 3 / 238
= 3
Step3:
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
= 1 / 424
= 1
So, Greatest Common Divisor of 459, 507, 238, 424 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 459, 507, 238, 424
The greatest common divisor of numbers 459, 507, 238, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 459, 507, 238, 424 is 1.
1. What is the GCD of 459, 507, 238, 424?
GCD of given numbers 459, 507, 238, 424 is 1
2. How to calculate the greatest common divisor of 459, 507, 238, 424?
We can find the highest common divisor of 459, 507, 238, 424 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 459, 507, 238, 424 i.e 1.
3. How can I use the GCD of 459, 507, 238, 424Calculator?
Out the numbers 459, 507, 238, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.