Online GCD Calculator is useful to find the GCD of 796, 424, 120, 592 quickly. Get the easiest ways to solve the greatest common divisor of 796, 424, 120, 592 i.e 4 in different methods as follows.
Given Input numbers are 796, 424, 120, 592
In the factoring method, we have to find the divisors of all numbers
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 592 :
The positive integer divisors of 592 that completely divides 592 are.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
GCD of numbers is the greatest common divisor
So, the GCD (796, 424, 120, 592) = 4.
Given numbers are 796, 424, 120, 592
The list of prime factors of all numbers are
Prime factors of 796 are 2 x 2 x 199
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 592 are 2 x 2 x 2 x 2 x 37
The highest common occurrence is 22
Therefore, GCD of 796, 424, 120, 592 is 4.
Given numbers are 796, 424, 120, 592
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(796, 424) = 84376
GCD(796, 424) = ( 796 x 424 ) / 84376
= 796 / 424
= 796
Step2:
LCM(4, 120) = 120
GCD(4, 120) = ( 4 x 120 ) / 120
= 4 / 120
= 4
Step3:
LCM(4, 592) = 592
GCD(4, 592) = ( 4 x 592 ) / 592
= 4 / 592
= 4
So, Greatest Common Divisor of 796, 424, 120, 592 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 796, 424, 120, 592
The greatest common divisor of numbers 796, 424, 120, 592 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 424, 120, 592 is 4.
1. What is the GCD of 796, 424, 120, 592?
GCD of given numbers 796, 424, 120, 592 is 4
2. How to calculate the greatest common divisor of 796, 424, 120, 592?
We can find the highest common divisor of 796, 424, 120, 592 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 796, 424, 120, 592 i.e 4.
3. How can I use the GCD of 796, 424, 120, 592Calculator?
Out the numbers 796, 424, 120, 592 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.