Online GCD Calculator is useful to find the GCD of 488, 316, 809, 728 quickly. Get the easiest ways to solve the greatest common divisor of 488, 316, 809, 728 i.e 1 in different methods as follows.
Given Input numbers are 488, 316, 809, 728
In the factoring method, we have to find the divisors of all numbers
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 809 :
The positive integer divisors of 809 that completely divides 809 are.
1, 809
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
GCD of numbers is the greatest common divisor
So, the GCD (488, 316, 809, 728) = 1.
Given numbers are 488, 316, 809, 728
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 316 are 2 x 2 x 79
Prime factors of 809 are 809
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 488, 316, 809, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 316) = 38552
GCD(488, 316) = ( 488 x 316 ) / 38552
= 488 / 316
= 488
Step2:
LCM(4, 809) = 3236
GCD(4, 809) = ( 4 x 809 ) / 3236
= 4 / 809
= 4
Step3:
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
= 1 / 728
= 1
So, Greatest Common Divisor of 488, 316, 809, 728 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 316, 809, 728
The greatest common divisor of numbers 488, 316, 809, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 316, 809, 728 is 1.
1. What is the GCD of 488, 316, 809, 728?
GCD of given numbers 488, 316, 809, 728 is 1
2. How to calculate the greatest common divisor of 488, 316, 809, 728?
We can find the highest common divisor of 488, 316, 809, 728 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 488, 316, 809, 728 i.e 1.
3. How can I use the GCD of 488, 316, 809, 728Calculator?
Out the numbers 488, 316, 809, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.