GCD of 460, 326, 95, 298 Calculator

Given Input numbers are 460, 326, 95, 298

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 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 460, 326, 95, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 326, 95, 298 is 1.

Therefore, GCD of numbers 460, 326, 95, 298 is 1

Given Input Data is 460, 326, 95, 298

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 326 is 2 x 163

Prime Factorization of 95 is 5 x 19

Prime Factorization of 298 is 2 x 149

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, 326) = 74980

GCD(460, 326) = ( 460 x 326 ) / 74980

GCD(460, 326) = 149960 / 74980

GCD(460, 326) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 95

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

LCM(2, 95) = 190

GCD(2, 95) = ( 2 x 95 ) / 190

GCD(2, 95) = 190 / 190

GCD(2, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 460, 326, 95, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 961, 35, 843
• GCD of 464, 910, 12, 674
• GCD of 839, 400, 16, 700
• GCD of 539, 678, 91, 630
• GCD of 703, 571, 72, 109

1. What is the GCD of 460, 326, 95, 298?

GCD of 460, 326, 95, 298 is 1

2. Where do I get the detailed procedure to find GCD of 460, 326, 95, 298?

You can find a detailed procedure to find GCD of 460, 326, 95, 298 on our page.

3. How to find GCD of 460, 326, 95, 298 on a calculator?

You can find the GCD of 460, 326, 95, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.