Online GCD Calculator is useful to find the GCD of 936, 646, 896, 872 quickly. Get the easiest ways to solve the greatest common divisor of 936, 646, 896, 872 i.e 2 in different methods as follows.
Given Input numbers are 936, 646, 896, 872
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 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (936, 646, 896, 872) = 2.
Given numbers are 936, 646, 896, 872
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 646 are 2 x 17 x 19
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 872 are 2 x 2 x 2 x 109
The highest common occurrence is 21
Therefore, GCD of 936, 646, 896, 872 is 2.
Given numbers are 936, 646, 896, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(936, 646) = 302328
GCD(936, 646) = ( 936 x 646 ) / 302328
= 936 / 646
= 936
Step2:
LCM(2, 896) = 896
GCD(2, 896) = ( 2 x 896 ) / 896
= 2 / 896
= 2
Step3:
LCM(2, 872) = 872
GCD(2, 872) = ( 2 x 872 ) / 872
= 2 / 872
= 2
So, Greatest Common Divisor of 936, 646, 896, 872 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 936, 646, 896, 872
The greatest common divisor of numbers 936, 646, 896, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 646, 896, 872 is 2.
1. What is the GCD of 936, 646, 896, 872?
GCD of given numbers 936, 646, 896, 872 is 2
2. How to calculate the greatest common divisor of 936, 646, 896, 872?
We can find the highest common divisor of 936, 646, 896, 872 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, 646, 896, 872 i.e 2.
3. How can I use the GCD of 936, 646, 896, 872Calculator?
Out the numbers 936, 646, 896, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.