GCD of 887, 400, 20, 588 Calculator

Given Input numbers are 887, 400, 20, 588

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

Divisors of 887

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

1, 887

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 887, 400, 20, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 887, 400, 20, 588 is 1.

Therefore, GCD of numbers 887, 400, 20, 588 is 1

Given Input Data is 887, 400, 20, 588

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

Prime Factorization of 887 is 887

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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(887, 400) = 354800

GCD(887, 400) = ( 887 x 400 ) / 354800

GCD(887, 400) = 354800 / 354800

GCD(887, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 887, 400, 20, 588 is 1

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1. What is the GCD of 887, 400, 20, 588?

GCD of 887, 400, 20, 588 is 1

2. Where do I get the detailed procedure to find GCD of 887, 400, 20, 588?

You can find a detailed procedure to find GCD of 887, 400, 20, 588 on our page.

3. How to find GCD of 887, 400, 20, 588 on a calculator?

You can find the GCD of 887, 400, 20, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.