Online GCD Calculator is useful to find the GCD of 996, 130, 106, 592 quickly. Get the easiest ways to solve the greatest common divisor of 996, 130, 106, 592 i.e 2 in different methods as follows.
Given Input numbers are 996, 130, 106, 592
In the factoring method, we have to find the divisors of all numbers
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
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 (996, 130, 106, 592) = 2.
Given numbers are 996, 130, 106, 592
The list of prime factors of all numbers are
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 130 are 2 x 5 x 13
Prime factors of 106 are 2 x 53
Prime factors of 592 are 2 x 2 x 2 x 2 x 37
The highest common occurrence is 21
Therefore, GCD of 996, 130, 106, 592 is 2.
Given numbers are 996, 130, 106, 592
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(996, 130) = 64740
GCD(996, 130) = ( 996 x 130 ) / 64740
= 996 / 130
= 996
Step2:
LCM(2, 106) = 106
GCD(2, 106) = ( 2 x 106 ) / 106
= 2 / 106
= 2
Step3:
LCM(2, 592) = 592
GCD(2, 592) = ( 2 x 592 ) / 592
= 2 / 592
= 2
So, Greatest Common Divisor of 996, 130, 106, 592 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 996, 130, 106, 592
The greatest common divisor of numbers 996, 130, 106, 592 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 130, 106, 592 is 2.
1. What is the GCD of 996, 130, 106, 592?
GCD of given numbers 996, 130, 106, 592 is 2
2. How to calculate the greatest common divisor of 996, 130, 106, 592?
We can find the highest common divisor of 996, 130, 106, 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 996, 130, 106, 592 i.e 2.
3. How can I use the GCD of 996, 130, 106, 592Calculator?
Out the numbers 996, 130, 106, 592 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.