GCD of 348, 150, 486 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 348, 150, 486 i.e. 6 largest integer that divides all the numbers equally.

GCD of 348, 150, 486 is 6

GCD(348, 150, 486) = 6

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

GCD of

GCD of numbers 348, 150, 486 is 6

GCD(348, 150, 486) = 6

GCD of 348,150,486 Calculator

GCDof 348,150,486 is 6

Given Input numbers are 348, 150, 486

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Greatest Common Divisior

We found the divisors of 348, 150, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 150, 486 is 6.

Therefore, GCD of numbers 348, 150, 486 is 6

Finding GCD of 348, 150, 486 using Prime Factorization

Given Input Data is 348, 150, 486

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Highest common occurrences in the given inputs are 21 x 31

Multiplying them we get the GCD as 6

Finding GCD of 348, 150, 486 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(348, 150) = 8700

GCD(348, 150) = ( 348 x 150 ) / 8700

GCD(348, 150) = 52200 / 8700

GCD(348, 150) = 6


Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 486

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

LCM(6, 486) = 486

GCD(6, 486) = ( 6 x 486 ) / 486

GCD(6, 486) = 2916 / 486

GCD(6, 486) = 6

GCD of 348, 150, 486 is 6

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 348, 150, 486

1. What is the GCD of 348, 150, 486?

GCD of 348, 150, 486 is 6


2. Where do I get the detailed procedure to find GCD of 348, 150, 486?

You can find a detailed procedure to find GCD of 348, 150, 486 on our page.


3. How to find GCD of 348, 150, 486 on a calculator?

You can find the GCD of 348, 150, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.