Online GCD Calculator is useful to find the GCD of 117, 723, 446, 728 quickly. Get the easiest ways to solve the greatest common divisor of 117, 723, 446, 728 i.e 1 in different methods as follows.
Given Input numbers are 117, 723, 446, 728
In the factoring method, we have to find the divisors of all numbers
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
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 (117, 723, 446, 728) = 1.
Given numbers are 117, 723, 446, 728
The list of prime factors of all numbers are
Prime factors of 117 are 3 x 3 x 13
Prime factors of 723 are 3 x 241
Prime factors of 446 are 2 x 223
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 117, 723, 446, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(117, 723) = 28197
GCD(117, 723) = ( 117 x 723 ) / 28197
= 117 / 723
= 117
Step2:
LCM(3, 446) = 1338
GCD(3, 446) = ( 3 x 446 ) / 1338
= 3 / 446
= 3
Step3:
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
= 1 / 728
= 1
So, Greatest Common Divisor of 117, 723, 446, 728 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 117, 723, 446, 728
The greatest common divisor of numbers 117, 723, 446, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 723, 446, 728 is 1.
1. What is the GCD of 117, 723, 446, 728?
GCD of given numbers 117, 723, 446, 728 is 1
2. How to calculate the greatest common divisor of 117, 723, 446, 728?
We can find the highest common divisor of 117, 723, 446, 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 117, 723, 446, 728 i.e 1.
3. How can I use the GCD of 117, 723, 446, 728Calculator?
Out the numbers 117, 723, 446, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.