GCD of 288, 221, 90, 877 Calculator

Given Input numbers are 288, 221, 90, 877

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 877

List of positive integer divisors of 877 that divides 877 without a remainder.

1, 877

Greatest Common Divisior

We found the divisors of 288, 221, 90, 877 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 221, 90, 877 is 1.

Therefore, GCD of numbers 288, 221, 90, 877 is 1

Given Input Data is 288, 221, 90, 877

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 221 is 13 x 17

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 877 is 877

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(288, 221) = 63648

GCD(288, 221) = ( 288 x 221 ) / 63648

GCD(288, 221) = 63648 / 63648

GCD(288, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 877

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

LCM(1, 877) = 877

GCD(1, 877) = ( 1 x 877 ) / 877

GCD(1, 877) = 877 / 877

GCD(1, 877) = 1

GCD of 288, 221, 90, 877 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 190, 61, 656
• GCD of 481, 127, 32, 542
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• GCD of 398, 999, 49, 699
• GCD of 889, 681, 91, 752

1. What is the GCD of 288, 221, 90, 877?

GCD of 288, 221, 90, 877 is 1

2. Where do I get the detailed procedure to find GCD of 288, 221, 90, 877?

You can find a detailed procedure to find GCD of 288, 221, 90, 877 on our page.

3. How to find GCD of 288, 221, 90, 877 on a calculator?

You can find the GCD of 288, 221, 90, 877 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.