GCD of 460, 150, 208, 323 Calculator

Given Input numbers are 460, 150, 208, 323

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 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Greatest Common Divisior

We found the divisors of 460, 150, 208, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 150, 208, 323 is 1.

Therefore, GCD of numbers 460, 150, 208, 323 is 1

Given Input Data is 460, 150, 208, 323

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 150 is 2 x 3 x 5 x 5

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 323 is 17 x 19

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, 150) = 6900

GCD(460, 150) = ( 460 x 150 ) / 6900

GCD(460, 150) = 69000 / 6900

GCD(460, 150) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 208

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

LCM(10, 208) = 1040

GCD(10, 208) = ( 10 x 208 ) / 1040

GCD(10, 208) = 2080 / 1040

GCD(10, 208) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 323

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

LCM(2, 323) = 646

GCD(2, 323) = ( 2 x 323 ) / 646

GCD(2, 323) = 646 / 646

GCD(2, 323) = 1

GCD of 460, 150, 208, 323 is 1

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• GCD of 484, 320, 863, 793
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• GCD of 783, 466, 464, 136

1. What is the GCD of 460, 150, 208, 323?

GCD of 460, 150, 208, 323 is 1

2. Where do I get the detailed procedure to find GCD of 460, 150, 208, 323?

You can find a detailed procedure to find GCD of 460, 150, 208, 323 on our page.

3. How to find GCD of 460, 150, 208, 323 on a calculator?

You can find the GCD of 460, 150, 208, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.