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GCD of 378, 384, 621, 831 Calculator

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


Online GCD Calculator is useful to find the GCD of 378, 384, 621, 831 quickly. Get the easiest ways to solve the greatest common divisor of 378, 384, 621, 831 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 378, 384, 621, 831 with Factoring?

Given Input numbers are 378, 384, 621, 831

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831


GCD of numbers is the greatest common divisor

So, the GCD (378, 384, 621, 831) = 3.

Find GCD of 378, 384, 621, 831 using Prime Factorization

Given numbers are 378, 384, 621, 831

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 621 are 3 x 3 x 3 x 23

Prime factors of 831 are 3 x 277

The highest common occurrence is 31

Therefore, GCD of 378, 384, 621, 831 is 3.

Steps to Calculate GCD of 378, 384, 621, 831 using LCM Formula

Given numbers are 378, 384, 621, 831

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

Apply this formula for all numbers.

Step1:

LCM(378, 384) = 24192

GCD(378, 384) = ( 378 x 384 ) / 24192

= 378 / 384

= 378


Step2:

LCM(6, 621) = 1242

GCD(6, 621) = ( 6 x 621 ) / 1242

= 6 / 621

= 6


Step3:

LCM(3, 831) = 831

GCD(3, 831) = ( 3 x 831 ) / 831

= 3 / 831

= 3


So, Greatest Common Divisor of 378, 384, 621, 831 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 378, 384, 621, 831

Given numbers are 378, 384, 621, 831
The greatest common divisor of numbers 378, 384, 621, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 384, 621, 831 is 3.

FAQs on GCD of 378, 384, 621, 831 Calculator

1. What is the GCD of 378, 384, 621, 831?

GCD of given numbers 378, 384, 621, 831 is 3


2. How to calculate the greatest common divisor of 378, 384, 621, 831?

We can find the highest common divisor of 378, 384, 621, 831 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 378, 384, 621, 831 i.e 3.


3. How can I use the GCD of 378, 384, 621, 831Calculator?

Out the numbers 378, 384, 621, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.