Online GCD Calculator is useful to find the GCD of 116, 872, 540, 968 quickly. Get the easiest ways to solve the greatest common divisor of 116, 872, 540, 968 i.e 4 in different methods as follows.
Given Input numbers are 116, 872, 540, 968
In the factoring method, we have to find the divisors of all numbers
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
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
GCD of numbers is the greatest common divisor
So, the GCD (116, 872, 540, 968) = 4.
Given numbers are 116, 872, 540, 968
The list of prime factors of all numbers are
Prime factors of 116 are 2 x 2 x 29
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
The highest common occurrence is 22
Therefore, GCD of 116, 872, 540, 968 is 4.
Given numbers are 116, 872, 540, 968
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(116, 872) = 25288
GCD(116, 872) = ( 116 x 872 ) / 25288
= 116 / 872
= 116
Step2:
LCM(4, 540) = 540
GCD(4, 540) = ( 4 x 540 ) / 540
= 4 / 540
= 4
Step3:
LCM(4, 968) = 968
GCD(4, 968) = ( 4 x 968 ) / 968
= 4 / 968
= 4
So, Greatest Common Divisor of 116, 872, 540, 968 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 116, 872, 540, 968
The greatest common divisor of numbers 116, 872, 540, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 872, 540, 968 is 4.
1. What is the GCD of 116, 872, 540, 968?
GCD of given numbers 116, 872, 540, 968 is 4
2. How to calculate the greatest common divisor of 116, 872, 540, 968?
We can find the highest common divisor of 116, 872, 540, 968 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 116, 872, 540, 968 i.e 4.
3. How can I use the GCD of 116, 872, 540, 968Calculator?
Out the numbers 116, 872, 540, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.