Online GCD Calculator is useful to find the GCD of 968, 800, 596, 112 quickly. Get the easiest ways to solve the greatest common divisor of 968, 800, 596, 112 i.e 4 in different methods as follows.
Given Input numbers are 968, 800, 596, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
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 596 :
The positive integer divisors of 596 that completely divides 596 are.
1, 2, 4, 149, 298, 596
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (968, 800, 596, 112) = 4.
Given numbers are 968, 800, 596, 112
The list of prime factors of all numbers are
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 596 are 2 x 2 x 149
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The highest common occurrence is 22
Therefore, GCD of 968, 800, 596, 112 is 4.
Given numbers are 968, 800, 596, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(968, 800) = 96800
GCD(968, 800) = ( 968 x 800 ) / 96800
= 968 / 800
= 968
Step2:
LCM(8, 596) = 1192
GCD(8, 596) = ( 8 x 596 ) / 1192
= 8 / 596
= 8
Step3:
LCM(4, 112) = 112
GCD(4, 112) = ( 4 x 112 ) / 112
= 4 / 112
= 4
So, Greatest Common Divisor of 968, 800, 596, 112 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 968, 800, 596, 112
The greatest common divisor of numbers 968, 800, 596, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 800, 596, 112 is 4.
1. What is the GCD of 968, 800, 596, 112?
GCD of given numbers 968, 800, 596, 112 is 4
2. How to calculate the greatest common divisor of 968, 800, 596, 112?
We can find the highest common divisor of 968, 800, 596, 112 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 968, 800, 596, 112 i.e 4.
3. How can I use the GCD of 968, 800, 596, 112Calculator?
Out the numbers 968, 800, 596, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.