GCD of 220, 584, 730, 888 Calculator

Given Input numbers are 220, 584, 730, 888

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

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 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Greatest Common Divisior

We found the divisors of 220, 584, 730, 888 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 584, 730, 888 is 2.

Therefore, GCD of numbers 220, 584, 730, 888 is 2

Given Input Data is 220, 584, 730, 888

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

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(220, 584) = 32120

GCD(220, 584) = ( 220 x 584 ) / 32120

GCD(220, 584) = 128480 / 32120

GCD(220, 584) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 730

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

LCM(4, 730) = 1460

GCD(4, 730) = ( 4 x 730 ) / 1460

GCD(4, 730) = 2920 / 1460

GCD(4, 730) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 888

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

LCM(2, 888) = 888

GCD(2, 888) = ( 2 x 888 ) / 888

GCD(2, 888) = 1776 / 888

GCD(2, 888) = 2

GCD of 220, 584, 730, 888 is 2

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1. What is the GCD of 220, 584, 730, 888?

GCD of 220, 584, 730, 888 is 2

2. Where do I get the detailed procedure to find GCD of 220, 584, 730, 888?

You can find a detailed procedure to find GCD of 220, 584, 730, 888 on our page.

3. How to find GCD of 220, 584, 730, 888 on a calculator?

You can find the GCD of 220, 584, 730, 888 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.