GCD of 460, 300, 35, 304 Calculator

Given Input numbers are 460, 300, 35, 304

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 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 460, 300, 35, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 300, 35, 304 is 1.

Therefore, GCD of numbers 460, 300, 35, 304 is 1

Given Input Data is 460, 300, 35, 304

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 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 35 is 5 x 7

Prime Factorization of 304 is 2 x 2 x 2 x 2 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, 300) = 6900

GCD(460, 300) = ( 460 x 300 ) / 6900

GCD(460, 300) = 138000 / 6900

GCD(460, 300) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 35

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

LCM(20, 35) = 140

GCD(20, 35) = ( 20 x 35 ) / 140

GCD(20, 35) = 700 / 140

GCD(20, 35) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 304

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

LCM(5, 304) = 1520

GCD(5, 304) = ( 5 x 304 ) / 1520

GCD(5, 304) = 1520 / 1520

GCD(5, 304) = 1

GCD of 460, 300, 35, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 786, 39, 964
• GCD of 819, 871, 35, 670
• GCD of 561, 351, 41, 489
• GCD of 649, 921, 97, 308
• GCD of 365, 453, 31, 840

1. What is the GCD of 460, 300, 35, 304?

GCD of 460, 300, 35, 304 is 1

2. Where do I get the detailed procedure to find GCD of 460, 300, 35, 304?

You can find a detailed procedure to find GCD of 460, 300, 35, 304 on our page.

3. How to find GCD of 460, 300, 35, 304 on a calculator?

You can find the GCD of 460, 300, 35, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.