GCD of 460, 917, 321, 286 Calculator

Given Input numbers are 460, 917, 321, 286

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 460, 917, 321, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 917, 321, 286 is 1.

Therefore, GCD of numbers 460, 917, 321, 286 is 1

Given Input Data is 460, 917, 321, 286

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 917 is 7 x 131

Prime Factorization of 321 is 3 x 107

Prime Factorization of 286 is 2 x 11 x 13

The above numbers do not have any common prime factor. So GCD is 1

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(460, 917) = 421820

GCD(460, 917) = ( 460 x 917 ) / 421820

GCD(460, 917) = 421820 / 421820

GCD(460, 917) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

GCD of 460, 917, 321, 286 is 1

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1. What is the GCD of 460, 917, 321, 286?

GCD of 460, 917, 321, 286 is 1

2. Where do I get the detailed procedure to find GCD of 460, 917, 321, 286?

You can find a detailed procedure to find GCD of 460, 917, 321, 286 on our page.

3. How to find GCD of 460, 917, 321, 286 on a calculator?

You can find the GCD of 460, 917, 321, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.