Online GCD Calculator is useful to find the GCD of 936, 114, 689, 864 quickly. Get the easiest ways to solve the greatest common divisor of 936, 114, 689, 864 i.e 1 in different methods as follows.
Given Input numbers are 936, 114, 689, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
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 (936, 114, 689, 864) = 1.
Given numbers are 936, 114, 689, 864
The list of prime factors of all numbers are
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 114 are 2 x 3 x 19
Prime factors of 689 are 13 x 53
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 936, 114, 689, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(936, 114) = 17784
GCD(936, 114) = ( 936 x 114 ) / 17784
= 936 / 114
= 936
Step2:
LCM(6, 689) = 4134
GCD(6, 689) = ( 6 x 689 ) / 4134
= 6 / 689
= 6
Step3:
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
= 1 / 864
= 1
So, Greatest Common Divisor of 936, 114, 689, 864 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 936, 114, 689, 864
The greatest common divisor of numbers 936, 114, 689, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 114, 689, 864 is 1.
1. What is the GCD of 936, 114, 689, 864?
GCD of given numbers 936, 114, 689, 864 is 1
2. How to calculate the greatest common divisor of 936, 114, 689, 864?
We can find the highest common divisor of 936, 114, 689, 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 936, 114, 689, 864 i.e 1.
3. How can I use the GCD of 936, 114, 689, 864Calculator?
Out the numbers 936, 114, 689, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.