Online GCD Calculator is useful to find the GCD of 800, 112, 796 quickly. Get the easiest ways to solve the greatest common divisor of 800, 112, 796 i.e 4 in different methods as follows.
Given Input numbers are 800, 112, 796
In the factoring method, we have to find the divisors of all numbers
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
GCD of numbers is the greatest common divisor
So, the GCD (800, 112, 796) = 4.
Given numbers are 800, 112, 796
The list of prime factors of all numbers are
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 796 are 2 x 2 x 199
The highest common occurrence is 22
Therefore, GCD of 800, 112, 796 is 4.
Given numbers are 800, 112, 796
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(800, 112) = 5600
GCD(800, 112) = ( 800 x 112 ) / 5600
= 800 / 112
= 800
Step2:
LCM(16, 796) = 3184
GCD(16, 796) = ( 16 x 796 ) / 3184
= 16 / 796
= 16
So, Greatest Common Divisor of 800, 112, 796 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 800, 112, 796
The greatest common divisor of numbers 800, 112, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 112, 796 is 4.
1. What is the GCD of 800, 112, 796?
GCD of given numbers 800, 112, 796 is 4
2. How to calculate the greatest common divisor of 800, 112, 796?
We can find the highest common divisor of 800, 112, 796 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 800, 112, 796 i.e 4.
3. How can I use the GCD of 800, 112, 796Calculator?
Out the numbers 800, 112, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.