GCD of 381, 411, 849, 711 Calculator

Given Input numbers are 381, 411, 849, 711

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 381, 411, 849, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 411, 849, 711 is 3.

Therefore, GCD of numbers 381, 411, 849, 711 is 3

Given Input Data is 381, 411, 849, 711

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 411 is 3 x 137

Prime Factorization of 849 is 3 x 283

Prime Factorization of 711 is 3 x 3 x 79

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(381, 411) = 52197

GCD(381, 411) = ( 381 x 411 ) / 52197

GCD(381, 411) = 156591 / 52197

GCD(381, 411) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 849

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

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

GCD(3, 849) = 2547 / 849

GCD(3, 849) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 711

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

LCM(3, 711) = 711

GCD(3, 711) = ( 3 x 711 ) / 711

GCD(3, 711) = 2133 / 711

GCD(3, 711) = 3

GCD of 381, 411, 849, 711 is 3

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1. What is the GCD of 381, 411, 849, 711?

GCD of 381, 411, 849, 711 is 3

2. Where do I get the detailed procedure to find GCD of 381, 411, 849, 711?

You can find a detailed procedure to find GCD of 381, 411, 849, 711 on our page.

3. How to find GCD of 381, 411, 849, 711 on a calculator?

You can find the GCD of 381, 411, 849, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.