Online GCD Calculator is useful to find the GCD of 556, 796, 720, 108 quickly. Get the easiest ways to solve the greatest common divisor of 556, 796, 720, 108 i.e 4 in different methods as follows.
Given Input numbers are 556, 796, 720, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 556 :
The positive integer divisors of 556 that completely divides 556 are.
1, 2, 4, 139, 278, 556
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (556, 796, 720, 108) = 4.
Given numbers are 556, 796, 720, 108
The list of prime factors of all numbers are
Prime factors of 556 are 2 x 2 x 139
Prime factors of 796 are 2 x 2 x 199
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 556, 796, 720, 108 is 4.
Given numbers are 556, 796, 720, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(556, 796) = 110644
GCD(556, 796) = ( 556 x 796 ) / 110644
= 556 / 796
= 556
Step2:
LCM(4, 720) = 720
GCD(4, 720) = ( 4 x 720 ) / 720
= 4 / 720
= 4
Step3:
LCM(4, 108) = 108
GCD(4, 108) = ( 4 x 108 ) / 108
= 4 / 108
= 4
So, Greatest Common Divisor of 556, 796, 720, 108 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 556, 796, 720, 108
The greatest common divisor of numbers 556, 796, 720, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 556, 796, 720, 108 is 4.
1. What is the GCD of 556, 796, 720, 108?
GCD of given numbers 556, 796, 720, 108 is 4
2. How to calculate the greatest common divisor of 556, 796, 720, 108?
We can find the highest common divisor of 556, 796, 720, 108 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 556, 796, 720, 108 i.e 4.
3. How can I use the GCD of 556, 796, 720, 108Calculator?
Out the numbers 556, 796, 720, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.