GCD of 606, 831, 69, 378 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 606, 831, 69, 378 i.e. 3 largest integer that divides all the numbers equally.

GCD of 606, 831, 69, 378 is 3

GCD(606, 831, 69, 378) = 3

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 606, 831, 69, 378 is 3

GCD(606, 831, 69, 378) = 3

GCD of 606,831,69,378 Calculator

GCDof 606,831,69,378 is 3

Given Input numbers are 606, 831, 69, 378

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

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

Greatest Common Divisior

We found the divisors of 606, 831, 69, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 606, 831, 69, 378 is 3.

Therefore, GCD of numbers 606, 831, 69, 378 is 3

Finding GCD of 606, 831, 69, 378 using Prime Factorization

Given Input Data is 606, 831, 69, 378

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 831 is 3 x 277

Prime Factorization of 69 is 3 x 23

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 606, 831, 69, 378 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(606, 831) = 167862

GCD(606, 831) = ( 606 x 831 ) / 167862

GCD(606, 831) = 503586 / 167862

GCD(606, 831) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 69

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

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

GCD(3, 69) = 207 / 69

GCD(3, 69) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 378

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

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

GCD(3, 378) = 1134 / 378

GCD(3, 378) = 3

GCD of 606, 831, 69, 378 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 606, 831, 69, 378

1. What is the GCD of 606, 831, 69, 378?

GCD of 606, 831, 69, 378 is 3


2. Where do I get the detailed procedure to find GCD of 606, 831, 69, 378?

You can find a detailed procedure to find GCD of 606, 831, 69, 378 on our page.


3. How to find GCD of 606, 831, 69, 378 on a calculator?

You can find the GCD of 606, 831, 69, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.