GCD of 266, 224, 820 Calculator

Given Input numbers are 266, 224, 820

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

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 266, 224, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 224, 820 is 2.

Therefore, GCD of numbers 266, 224, 820 is 2

Given Input Data is 266, 224, 820

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

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(266, 224) = 4256

GCD(266, 224) = ( 266 x 224 ) / 4256

GCD(266, 224) = 59584 / 4256

GCD(266, 224) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 820

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

LCM(14, 820) = 5740

GCD(14, 820) = ( 14 x 820 ) / 5740

GCD(14, 820) = 11480 / 5740

GCD(14, 820) = 2

GCD of 266, 224, 820 is 2

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1. What is the GCD of 266, 224, 820?

GCD of 266, 224, 820 is 2

2. Where do I get the detailed procedure to find GCD of 266, 224, 820?

You can find a detailed procedure to find GCD of 266, 224, 820 on our page.

3. How to find GCD of 266, 224, 820 on a calculator?

You can find the GCD of 266, 224, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.