GCD of 87, 873, 871, 310 Calculator

Given Input numbers are 87, 873, 871, 310

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 871

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

1, 13, 67, 871

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 87, 873, 871, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 873, 871, 310 is 1.

Therefore, GCD of numbers 87, 873, 871, 310 is 1

Given Input Data is 87, 873, 871, 310

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 871 is 13 x 67

Prime Factorization of 310 is 2 x 5 x 31

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(87, 873) = 25317

GCD(87, 873) = ( 87 x 873 ) / 25317

GCD(87, 873) = 75951 / 25317

GCD(87, 873) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 871

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

LCM(3, 871) = 2613

GCD(3, 871) = ( 3 x 871 ) / 2613

GCD(3, 871) = 2613 / 2613

GCD(3, 871) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 87, 873, 871, 310 is 1

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• GCD of 20, 723, 257, 543
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1. What is the GCD of 87, 873, 871, 310?

GCD of 87, 873, 871, 310 is 1

2. Where do I get the detailed procedure to find GCD of 87, 873, 871, 310?

You can find a detailed procedure to find GCD of 87, 873, 871, 310 on our page.

3. How to find GCD of 87, 873, 871, 310 on a calculator?

You can find the GCD of 87, 873, 871, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.