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GCD of 396, 352, 678, 596 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, 352, 678, 596 quickly. Get the easiest ways to solve the greatest common divisor of 396, 352, 678, 596 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 396, 352, 678, 596 with Factoring?

Given Input numbers are 396, 352, 678, 596

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 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596


GCD of numbers is the greatest common divisor

So, the GCD (396, 352, 678, 596) = 2.

Find GCD of 396, 352, 678, 596 using Prime Factorization

Given numbers are 396, 352, 678, 596

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 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 678 are 2 x 3 x 113

Prime factors of 596 are 2 x 2 x 149

The highest common occurrence is 21

Therefore, GCD of 396, 352, 678, 596 is 2.

Steps to Calculate GCD of 396, 352, 678, 596 using LCM Formula

Given numbers are 396, 352, 678, 596

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

Apply this formula for all numbers.

Step1:

LCM(396, 352) = 3168

GCD(396, 352) = ( 396 x 352 ) / 3168

= 396 / 352

= 396


Step2:

LCM(44, 678) = 14916

GCD(44, 678) = ( 44 x 678 ) / 14916

= 44 / 678

= 44


Step3:

LCM(2, 596) = 596

GCD(2, 596) = ( 2 x 596 ) / 596

= 2 / 596

= 2


So, Greatest Common Divisor of 396, 352, 678, 596 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 396, 352, 678, 596

Given numbers are 396, 352, 678, 596
The greatest common divisor of numbers 396, 352, 678, 596 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 352, 678, 596 is 2.

FAQs on GCD of 396, 352, 678, 596 Calculator

1. What is the GCD of 396, 352, 678, 596?

GCD of given numbers 396, 352, 678, 596 is 2


2. How to calculate the greatest common divisor of 396, 352, 678, 596?

We can find the highest common divisor of 396, 352, 678, 596 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, 352, 678, 596 i.e 2.


3. How can I use the GCD of 396, 352, 678, 596Calculator?

Out the numbers 396, 352, 678, 596 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.