GCD of 874, 371, 887, 582 Calculator

Given Input numbers are 874, 371, 887, 582

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Greatest Common Divisior

We found the divisors of 874, 371, 887, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 371, 887, 582 is 1.

Therefore, GCD of numbers 874, 371, 887, 582 is 1

Given Input Data is 874, 371, 887, 582

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 371 is 7 x 53

Prime Factorization of 887 is 887

Prime Factorization of 582 is 2 x 3 x 97

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(874, 371) = 324254

GCD(874, 371) = ( 874 x 371 ) / 324254

GCD(874, 371) = 324254 / 324254

GCD(874, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 887

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

LCM(1, 887) = 887

GCD(1, 887) = ( 1 x 887 ) / 887

GCD(1, 887) = 887 / 887

GCD(1, 887) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 582

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

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

GCD(1, 582) = 582 / 582

GCD(1, 582) = 1

GCD of 874, 371, 887, 582 is 1

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1. What is the GCD of 874, 371, 887, 582?

GCD of 874, 371, 887, 582 is 1

2. Where do I get the detailed procedure to find GCD of 874, 371, 887, 582?

You can find a detailed procedure to find GCD of 874, 371, 887, 582 on our page.

3. How to find GCD of 874, 371, 887, 582 on a calculator?

You can find the GCD of 874, 371, 887, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.