GCD of 386, 870, 413 Calculator

Given Input numbers are 386, 870, 413

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

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 386, 870, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 386, 870, 413 is 1.

Therefore, GCD of numbers 386, 870, 413 is 1

Given Input Data is 386, 870, 413

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

Prime Factorization of 386 is 2 x 193

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 413 is 7 x 59

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(386, 870) = 167910

GCD(386, 870) = ( 386 x 870 ) / 167910

GCD(386, 870) = 335820 / 167910

GCD(386, 870) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 413

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

LCM(2, 413) = 826

GCD(2, 413) = ( 2 x 413 ) / 826

GCD(2, 413) = 826 / 826

GCD(2, 413) = 1

GCD of 386, 870, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 715, 233
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• GCD of 638, 653, 323
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1. What is the GCD of 386, 870, 413?

GCD of 386, 870, 413 is 1

2. Where do I get the detailed procedure to find GCD of 386, 870, 413?

You can find a detailed procedure to find GCD of 386, 870, 413 on our page.

3. How to find GCD of 386, 870, 413 on a calculator?

You can find the GCD of 386, 870, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.