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GCD of 396, 522, 354, 818 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, 522, 354, 818 quickly. Get the easiest ways to solve the greatest common divisor of 396, 522, 354, 818 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 396, 522, 354, 818 with Factoring?

Given Input numbers are 396, 522, 354, 818

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 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 818 :

The positive integer divisors of 818 that completely divides 818 are.

1, 2, 409, 818


GCD of numbers is the greatest common divisor

So, the GCD (396, 522, 354, 818) = 2.

Find GCD of 396, 522, 354, 818 using Prime Factorization

Given numbers are 396, 522, 354, 818

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 522 are 2 x 3 x 3 x 29

Prime factors of 354 are 2 x 3 x 59

Prime factors of 818 are 2 x 409

The highest common occurrence is 21

Therefore, GCD of 396, 522, 354, 818 is 2.

Steps to Calculate GCD of 396, 522, 354, 818 using LCM Formula

Given numbers are 396, 522, 354, 818

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

Apply this formula for all numbers.

Step1:

LCM(396, 522) = 11484

GCD(396, 522) = ( 396 x 522 ) / 11484

= 396 / 522

= 396


Step2:

LCM(18, 354) = 1062

GCD(18, 354) = ( 18 x 354 ) / 1062

= 18 / 354

= 18


Step3:

LCM(6, 818) = 2454

GCD(6, 818) = ( 6 x 818 ) / 2454

= 6 / 818

= 6


So, Greatest Common Divisor of 396, 522, 354, 818 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 396, 522, 354, 818

Given numbers are 396, 522, 354, 818
The greatest common divisor of numbers 396, 522, 354, 818 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 522, 354, 818 is 2.

FAQs on GCD of 396, 522, 354, 818 Calculator

1. What is the GCD of 396, 522, 354, 818?

GCD of given numbers 396, 522, 354, 818 is 2


2. How to calculate the greatest common divisor of 396, 522, 354, 818?

We can find the highest common divisor of 396, 522, 354, 818 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, 522, 354, 818 i.e 2.


3. How can I use the GCD of 396, 522, 354, 818Calculator?

Out the numbers 396, 522, 354, 818 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.