GCD of 320, 484, 946 Calculator

Given Input numbers are 320, 484, 946

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

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 320, 484, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 484, 946 is 2.

Therefore, GCD of numbers 320, 484, 946 is 2

Given Input Data is 320, 484, 946

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

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 946 is 2 x 11 x 43

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(320, 484) = 38720

GCD(320, 484) = ( 320 x 484 ) / 38720

GCD(320, 484) = 154880 / 38720

GCD(320, 484) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 946

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

LCM(4, 946) = 1892

GCD(4, 946) = ( 4 x 946 ) / 1892

GCD(4, 946) = 3784 / 1892

GCD(4, 946) = 2

GCD of 320, 484, 946 is 2

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• GCD of 282, 187, 343
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1. What is the GCD of 320, 484, 946?

GCD of 320, 484, 946 is 2

2. Where do I get the detailed procedure to find GCD of 320, 484, 946?

You can find a detailed procedure to find GCD of 320, 484, 946 on our page.

3. How to find GCD of 320, 484, 946 on a calculator?

You can find the GCD of 320, 484, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.