Online GCD Calculator is useful to find the GCD of 180, 836, 136, 864 quickly. Get the easiest ways to solve the greatest common divisor of 180, 836, 136, 864 i.e 4 in different methods as follows.
Given Input numbers are 180, 836, 136, 864
In the factoring method, we have to find the divisors of all numbers
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 836 :
The positive integer divisors of 836 that completely divides 836 are.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
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 (180, 836, 136, 864) = 4.
Given numbers are 180, 836, 136, 864
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 836 are 2 x 2 x 11 x 19
Prime factors of 136 are 2 x 2 x 2 x 17
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 22
Therefore, GCD of 180, 836, 136, 864 is 4.
Given numbers are 180, 836, 136, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 836) = 37620
GCD(180, 836) = ( 180 x 836 ) / 37620
= 180 / 836
= 180
Step2:
LCM(4, 136) = 136
GCD(4, 136) = ( 4 x 136 ) / 136
= 4 / 136
= 4
Step3:
LCM(4, 864) = 864
GCD(4, 864) = ( 4 x 864 ) / 864
= 4 / 864
= 4
So, Greatest Common Divisor of 180, 836, 136, 864 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 836, 136, 864
The greatest common divisor of numbers 180, 836, 136, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 836, 136, 864 is 4.
1. What is the GCD of 180, 836, 136, 864?
GCD of given numbers 180, 836, 136, 864 is 4
2. How to calculate the greatest common divisor of 180, 836, 136, 864?
We can find the highest common divisor of 180, 836, 136, 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 180, 836, 136, 864 i.e 4.
3. How can I use the GCD of 180, 836, 136, 864Calculator?
Out the numbers 180, 836, 136, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.