GCD of 471, 519, 141 Calculator

Given Input numbers are 471, 519, 141

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

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 471, 519, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 519, 141 is 3.

Therefore, GCD of numbers 471, 519, 141 is 3

Given Input Data is 471, 519, 141

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 519 is 3 x 173

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

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(471, 519) = 81483

GCD(471, 519) = ( 471 x 519 ) / 81483

GCD(471, 519) = 244449 / 81483

GCD(471, 519) = 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 471, 519, 141 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 586, 741
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1. What is the GCD of 471, 519, 141?

GCD of 471, 519, 141 is 3

2. Where do I get the detailed procedure to find GCD of 471, 519, 141?

You can find a detailed procedure to find GCD of 471, 519, 141 on our page.

3. How to find GCD of 471, 519, 141 on a calculator?

You can find the GCD of 471, 519, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.