GCD of 220, 896, 320 Calculator

Given Input numbers are 220, 896, 320

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 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 220, 896, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 896, 320 is 4.

Therefore, GCD of numbers 220, 896, 320 is 4

Given Input Data is 220, 896, 320

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 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 896) = 49280

GCD(220, 896) = ( 220 x 896 ) / 49280

GCD(220, 896) = 197120 / 49280

GCD(220, 896) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 320

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

LCM(4, 320) = 320

GCD(4, 320) = ( 4 x 320 ) / 320

GCD(4, 320) = 1280 / 320

GCD(4, 320) = 4

GCD of 220, 896, 320 is 4

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• GCD of 490, 580, 503
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1. What is the GCD of 220, 896, 320?

GCD of 220, 896, 320 is 4

2. Where do I get the detailed procedure to find GCD of 220, 896, 320?

You can find a detailed procedure to find GCD of 220, 896, 320 on our page.

3. How to find GCD of 220, 896, 320 on a calculator?

You can find the GCD of 220, 896, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.