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GCD of 996, 130, 106, 592 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


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.

GCD of

How to Find GCD of Numbers 996, 130, 106, 592 with Factoring?

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.

Find GCD of 996, 130, 106, 592 using Prime Factorization

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.

Steps to Calculate GCD of 996, 130, 106, 592 using LCM Formula

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

GCD of Numbers Calculation Examples

Greatest Common Divisor of 996, 130, 106, 592

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.

FAQs on GCD of 996, 130, 106, 592 Calculator

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.