Online GCD Calculator is useful to find the GCD of 406, 180, 820, 864 quickly. Get the easiest ways to solve the greatest common divisor of 406, 180, 820, 864 i.e 2 in different methods as follows.
Given Input numbers are 406, 180, 820, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 406 :
The positive integer divisors of 406 that completely divides 406 are.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
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 (406, 180, 820, 864) = 2.
Given numbers are 406, 180, 820, 864
The list of prime factors of all numbers are
Prime factors of 406 are 2 x 7 x 29
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 820 are 2 x 2 x 5 x 41
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 406, 180, 820, 864 is 2.
Given numbers are 406, 180, 820, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(406, 180) = 36540
GCD(406, 180) = ( 406 x 180 ) / 36540
= 406 / 180
= 406
Step2:
LCM(2, 820) = 820
GCD(2, 820) = ( 2 x 820 ) / 820
= 2 / 820
= 2
Step3:
LCM(2, 864) = 864
GCD(2, 864) = ( 2 x 864 ) / 864
= 2 / 864
= 2
So, Greatest Common Divisor of 406, 180, 820, 864 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 406, 180, 820, 864
The greatest common divisor of numbers 406, 180, 820, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 406, 180, 820, 864 is 2.
1. What is the GCD of 406, 180, 820, 864?
GCD of given numbers 406, 180, 820, 864 is 2
2. How to calculate the greatest common divisor of 406, 180, 820, 864?
We can find the highest common divisor of 406, 180, 820, 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 406, 180, 820, 864 i.e 2.
3. How can I use the GCD of 406, 180, 820, 864Calculator?
Out the numbers 406, 180, 820, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.