GCD of 446, 500, 920 Calculator

Given Input numbers are 446, 500, 920

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 446, 500, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 500, 920 is 2.

Therefore, GCD of numbers 446, 500, 920 is 2

Given Input Data is 446, 500, 920

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(446, 500) = 111500

GCD(446, 500) = ( 446 x 500 ) / 111500

GCD(446, 500) = 223000 / 111500

GCD(446, 500) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 920

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

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

GCD(2, 920) = 1840 / 920

GCD(2, 920) = 2

GCD of 446, 500, 920 is 2

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• GCD of 742, 353, 933
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1. What is the GCD of 446, 500, 920?

GCD of 446, 500, 920 is 2

2. Where do I get the detailed procedure to find GCD of 446, 500, 920?

You can find a detailed procedure to find GCD of 446, 500, 920 on our page.

3. How to find GCD of 446, 500, 920 on a calculator?

You can find the GCD of 446, 500, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.