GCD of 141, 309, 321 Calculator

Given Input numbers are 141, 309, 321

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

Divisors of 141

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

1, 3, 47, 141

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 141, 309, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 309, 321 is 3.

Therefore, GCD of numbers 141, 309, 321 is 3

Given Input Data is 141, 309, 321

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

Prime Factorization of 141 is 3 x 47

Prime Factorization of 309 is 3 x 103

Prime Factorization of 321 is 3 x 107

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(141, 309) = 14523

GCD(141, 309) = ( 141 x 309 ) / 14523

GCD(141, 309) = 43569 / 14523

GCD(141, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 321

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

LCM(3, 321) = 321

GCD(3, 321) = ( 3 x 321 ) / 321

GCD(3, 321) = 963 / 321

GCD(3, 321) = 3

GCD of 141, 309, 321 is 3

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• GCD of 734, 336, 392
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1. What is the GCD of 141, 309, 321?

GCD of 141, 309, 321 is 3

2. Where do I get the detailed procedure to find GCD of 141, 309, 321?

You can find a detailed procedure to find GCD of 141, 309, 321 on our page.

3. How to find GCD of 141, 309, 321 on a calculator?

You can find the GCD of 141, 309, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.