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GCD of 796, 424, 120, 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 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.

GCD of

How to Find GCD of Numbers 796, 424, 120, 592 with Factoring?

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.

Find GCD of 796, 424, 120, 592 using Prime Factorization

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.

Steps to Calculate GCD of 796, 424, 120, 592 using LCM Formula

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

GCD of Numbers Calculation Examples

Greatest Common Divisor of 796, 424, 120, 592

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.

FAQs on GCD of 796, 424, 120, 592 Calculator

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.