GCD of 871, 642, 214, 413 Calculator

Given Input numbers are 871, 642, 214, 413

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

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

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 871, 642, 214, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 642, 214, 413 is 1.

Therefore, GCD of numbers 871, 642, 214, 413 is 1

Given Input Data is 871, 642, 214, 413

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 214 is 2 x 107

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(871, 642) = 559182

GCD(871, 642) = ( 871 x 642 ) / 559182

GCD(871, 642) = 559182 / 559182

GCD(871, 642) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 871, 642, 214, 413 is 1

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• GCD of 461, 204, 320, 351
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• GCD of 156, 540, 216, 656

1. What is the GCD of 871, 642, 214, 413?

GCD of 871, 642, 214, 413 is 1

2. Where do I get the detailed procedure to find GCD of 871, 642, 214, 413?

You can find a detailed procedure to find GCD of 871, 642, 214, 413 on our page.

3. How to find GCD of 871, 642, 214, 413 on a calculator?

You can find the GCD of 871, 642, 214, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.