GCD of 410, 389, 362, 849 Calculator

Given Input numbers are 410, 389, 362, 849

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

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 849

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

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 410, 389, 362, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 410, 389, 362, 849 is 1.

Therefore, GCD of numbers 410, 389, 362, 849 is 1

Given Input Data is 410, 389, 362, 849

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

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 389 is 389

Prime Factorization of 362 is 2 x 181

Prime Factorization of 849 is 3 x 283

The above numbers do not have any common prime factor. So GCD is 1

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(410, 389) = 159490

GCD(410, 389) = ( 410 x 389 ) / 159490

GCD(410, 389) = 159490 / 159490

GCD(410, 389) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 410, 389, 362, 849 is 1

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1. What is the GCD of 410, 389, 362, 849?

GCD of 410, 389, 362, 849 is 1

2. Where do I get the detailed procedure to find GCD of 410, 389, 362, 849?

You can find a detailed procedure to find GCD of 410, 389, 362, 849 on our page.

3. How to find GCD of 410, 389, 362, 849 on a calculator?

You can find the GCD of 410, 389, 362, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.