Online GCD Calculator is useful to find the GCD of 580, 166, 160, 864 quickly. Get the easiest ways to solve the greatest common divisor of 580, 166, 160, 864 i.e 2 in different methods as follows.
Given Input numbers are 580, 166, 160, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
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 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
GCD of numbers is the greatest common divisor
So, the GCD (580, 166, 160, 864) = 2.
Given numbers are 580, 166, 160, 864
The list of prime factors of all numbers are
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 166 are 2 x 83
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 580, 166, 160, 864 is 2.
Given numbers are 580, 166, 160, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(580, 166) = 48140
GCD(580, 166) = ( 580 x 166 ) / 48140
= 580 / 166
= 580
Step2:
LCM(2, 160) = 160
GCD(2, 160) = ( 2 x 160 ) / 160
= 2 / 160
= 2
Step3:
LCM(2, 864) = 864
GCD(2, 864) = ( 2 x 864 ) / 864
= 2 / 864
= 2
So, Greatest Common Divisor of 580, 166, 160, 864 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 580, 166, 160, 864
The greatest common divisor of numbers 580, 166, 160, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 166, 160, 864 is 2.
1. What is the GCD of 580, 166, 160, 864?
GCD of given numbers 580, 166, 160, 864 is 2
2. How to calculate the greatest common divisor of 580, 166, 160, 864?
We can find the highest common divisor of 580, 166, 160, 864 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 580, 166, 160, 864 i.e 2.
3. How can I use the GCD of 580, 166, 160, 864Calculator?
Out the numbers 580, 166, 160, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.