GCD of 576, 220, 89 Calculator

Given Input numbers are 576, 220, 89

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

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Greatest Common Divisior

We found the divisors of 576, 220, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 220, 89 is 1.

Therefore, GCD of numbers 576, 220, 89 is 1

Given Input Data is 576, 220, 89

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

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 89 is 89

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(576, 220) = 31680

GCD(576, 220) = ( 576 x 220 ) / 31680

GCD(576, 220) = 126720 / 31680

GCD(576, 220) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 89

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

LCM(4, 89) = 356

GCD(4, 89) = ( 4 x 89 ) / 356

GCD(4, 89) = 356 / 356

GCD(4, 89) = 1

GCD of 576, 220, 89 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 989, 89
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1. What is the GCD of 576, 220, 89?

GCD of 576, 220, 89 is 1

2. Where do I get the detailed procedure to find GCD of 576, 220, 89?

You can find a detailed procedure to find GCD of 576, 220, 89 on our page.

3. How to find GCD of 576, 220, 89 on a calculator?

You can find the GCD of 576, 220, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.