Online GCD Calculator is useful to find the GCD of 728, 459, 113, 616 quickly. Get the easiest ways to solve the greatest common divisor of 728, 459, 113, 616 i.e 1 in different methods as follows.
Given Input numbers are 728, 459, 113, 616
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 459 :
The positive integer divisors of 459 that completely divides 459 are.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 113 :
The positive integer divisors of 113 that completely divides 113 are.
1, 113
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
GCD of numbers is the greatest common divisor
So, the GCD (728, 459, 113, 616) = 1.
Given numbers are 728, 459, 113, 616
The list of prime factors of all numbers are
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 459 are 3 x 3 x 3 x 17
Prime factors of 113 are 113
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 728, 459, 113, 616
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 459) = 334152
GCD(728, 459) = ( 728 x 459 ) / 334152
= 728 / 459
= 728
Step2:
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
= 1 / 113
= 1
Step3:
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
= 1 / 616
= 1
So, Greatest Common Divisor of 728, 459, 113, 616 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 728, 459, 113, 616
The greatest common divisor of numbers 728, 459, 113, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 459, 113, 616 is 1.
1. What is the GCD of 728, 459, 113, 616?
GCD of given numbers 728, 459, 113, 616 is 1
2. How to calculate the greatest common divisor of 728, 459, 113, 616?
We can find the highest common divisor of 728, 459, 113, 616 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 728, 459, 113, 616 i.e 1.
3. How can I use the GCD of 728, 459, 113, 616Calculator?
Out the numbers 728, 459, 113, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.