Online GCD Calculator is useful to find the GCD of 462, 442, 317, 928 quickly. Get the easiest ways to solve the greatest common divisor of 462, 442, 317, 928 i.e 1 in different methods as follows.
Given Input numbers are 462, 442, 317, 928
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 317 :
The positive integer divisors of 317 that completely divides 317 are.
1, 317
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
GCD of numbers is the greatest common divisor
So, the GCD (462, 442, 317, 928) = 1.
Given numbers are 462, 442, 317, 928
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 442 are 2 x 13 x 17
Prime factors of 317 are 317
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 462, 442, 317, 928
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 442) = 102102
GCD(462, 442) = ( 462 x 442 ) / 102102
= 462 / 442
= 462
Step2:
LCM(2, 317) = 634
GCD(2, 317) = ( 2 x 317 ) / 634
= 2 / 317
= 2
Step3:
LCM(1, 928) = 928
GCD(1, 928) = ( 1 x 928 ) / 928
= 1 / 928
= 1
So, Greatest Common Divisor of 462, 442, 317, 928 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 442, 317, 928
The greatest common divisor of numbers 462, 442, 317, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 442, 317, 928 is 1.
1. What is the GCD of 462, 442, 317, 928?
GCD of given numbers 462, 442, 317, 928 is 1
2. How to calculate the greatest common divisor of 462, 442, 317, 928?
We can find the highest common divisor of 462, 442, 317, 928 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 462, 442, 317, 928 i.e 1.
3. How can I use the GCD of 462, 442, 317, 928Calculator?
Out the numbers 462, 442, 317, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.