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GCD of 396, 342, 900, 796 Calculator

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


Online GCD Calculator is useful to find the GCD of 396, 342, 900, 796 quickly. Get the easiest ways to solve the greatest common divisor of 396, 342, 900, 796 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 396, 342, 900, 796 with Factoring?

Given Input numbers are 396, 342, 900, 796

In the factoring method, we have to find the divisors of all numbers

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796


GCD of numbers is the greatest common divisor

So, the GCD (396, 342, 900, 796) = 2.

Find GCD of 396, 342, 900, 796 using Prime Factorization

Given numbers are 396, 342, 900, 796

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 796 are 2 x 2 x 199

The highest common occurrence is 21

Therefore, GCD of 396, 342, 900, 796 is 2.

Steps to Calculate GCD of 396, 342, 900, 796 using LCM Formula

Given numbers are 396, 342, 900, 796

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(396, 342) = 7524

GCD(396, 342) = ( 396 x 342 ) / 7524

= 396 / 342

= 396


Step2:

LCM(18, 900) = 900

GCD(18, 900) = ( 18 x 900 ) / 900

= 18 / 900

= 18


Step3:

LCM(18, 796) = 7164

GCD(18, 796) = ( 18 x 796 ) / 7164

= 18 / 796

= 18


So, Greatest Common Divisor of 396, 342, 900, 796 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 396, 342, 900, 796

Given numbers are 396, 342, 900, 796
The greatest common divisor of numbers 396, 342, 900, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 342, 900, 796 is 2.

FAQs on GCD of 396, 342, 900, 796 Calculator

1. What is the GCD of 396, 342, 900, 796?

GCD of given numbers 396, 342, 900, 796 is 2


2. How to calculate the greatest common divisor of 396, 342, 900, 796?

We can find the highest common divisor of 396, 342, 900, 796 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 396, 342, 900, 796 i.e 2.


3. How can I use the GCD of 396, 342, 900, 796Calculator?

Out the numbers 396, 342, 900, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.