GCD of 705, 324, 141 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 705, 324, 141 i.e. 3 largest integer that divides all the numbers equally.

GCD of 705, 324, 141 is 3

GCD(705, 324, 141) = 3

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

GCD of

GCD of numbers 705, 324, 141 is 3

GCD(705, 324, 141) = 3

GCD of 705,324,141 Calculator

GCDof 705,324,141 is 3

Given Input numbers are 705, 324, 141

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 705, 324, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 324, 141 is 3.

Therefore, GCD of numbers 705, 324, 141 is 3

Finding GCD of 705, 324, 141 using Prime Factorization

Given Input Data is 705, 324, 141

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 141 is 3 x 47

Highest common occurrences in the given inputs are 31

Multiplying them we get the GCD as 3

Finding GCD of 705, 324, 141 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(705, 324) = 76140

GCD(705, 324) = ( 705 x 324 ) / 76140

GCD(705, 324) = 228420 / 76140

GCD(705, 324) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 141

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

LCM(3, 141) = 141

GCD(3, 141) = ( 3 x 141 ) / 141

GCD(3, 141) = 423 / 141

GCD(3, 141) = 3

GCD of 705, 324, 141 is 3

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 705, 324, 141

1. What is the GCD of 705, 324, 141?

GCD of 705, 324, 141 is 3


2. Where do I get the detailed procedure to find GCD of 705, 324, 141?

You can find a detailed procedure to find GCD of 705, 324, 141 on our page.


3. How to find GCD of 705, 324, 141 on a calculator?

You can find the GCD of 705, 324, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.