Online GCD Calculator is useful to find the GCD of 912, 200, 28, 896 quickly. Get the easiest ways to solve the greatest common divisor of 912, 200, 28, 896 i.e 4 in different methods as follows.
Given Input numbers are 912, 200, 28, 896
In the factoring method, we have to find the divisors of all numbers
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 28 :
The positive integer divisors of 28 that completely divides 28 are.
1, 2, 4, 7, 14, 28
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
GCD of numbers is the greatest common divisor
So, the GCD (912, 200, 28, 896) = 4.
Given numbers are 912, 200, 28, 896
The list of prime factors of all numbers are
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 28 are 2 x 2 x 7
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 22
Therefore, GCD of 912, 200, 28, 896 is 4.
Given numbers are 912, 200, 28, 896
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(912, 200) = 22800
GCD(912, 200) = ( 912 x 200 ) / 22800
= 912 / 200
= 912
Step2:
LCM(8, 28) = 56
GCD(8, 28) = ( 8 x 28 ) / 56
= 8 / 28
= 8
Step3:
LCM(4, 896) = 896
GCD(4, 896) = ( 4 x 896 ) / 896
= 4 / 896
= 4
So, Greatest Common Divisor of 912, 200, 28, 896 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 912, 200, 28, 896
The greatest common divisor of numbers 912, 200, 28, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 200, 28, 896 is 4.
1. What is the GCD of 912, 200, 28, 896?
GCD of given numbers 912, 200, 28, 896 is 4
2. How to calculate the greatest common divisor of 912, 200, 28, 896?
We can find the highest common divisor of 912, 200, 28, 896 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 912, 200, 28, 896 i.e 4.
3. How can I use the GCD of 912, 200, 28, 896Calculator?
Out the numbers 912, 200, 28, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.