Online GCD Calculator is useful to find the GCD of 160, 728, 470, 589 quickly. Get the easiest ways to solve the greatest common divisor of 160, 728, 470, 589 i.e 1 in different methods as follows.
Given Input numbers are 160, 728, 470, 589
In the factoring method, we have to find the divisors of all numbers
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
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 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 589 :
The positive integer divisors of 589 that completely divides 589 are.
1, 19, 31, 589
GCD of numbers is the greatest common divisor
So, the GCD (160, 728, 470, 589) = 1.
Given numbers are 160, 728, 470, 589
The list of prime factors of all numbers are
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 470 are 2 x 5 x 47
Prime factors of 589 are 19 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 160, 728, 470, 589
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 728) = 14560
GCD(160, 728) = ( 160 x 728 ) / 14560
= 160 / 728
= 160
Step2:
LCM(8, 470) = 1880
GCD(8, 470) = ( 8 x 470 ) / 1880
= 8 / 470
= 8
Step3:
LCM(2, 589) = 1178
GCD(2, 589) = ( 2 x 589 ) / 1178
= 2 / 589
= 2
So, Greatest Common Divisor of 160, 728, 470, 589 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 160, 728, 470, 589
The greatest common divisor of numbers 160, 728, 470, 589 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 728, 470, 589 is 1.
1. What is the GCD of 160, 728, 470, 589?
GCD of given numbers 160, 728, 470, 589 is 1
2. How to calculate the greatest common divisor of 160, 728, 470, 589?
We can find the highest common divisor of 160, 728, 470, 589 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 160, 728, 470, 589 i.e 1.
3. How can I use the GCD of 160, 728, 470, 589Calculator?
Out the numbers 160, 728, 470, 589 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.