GCD of 458, 500, 80, 301 Calculator

Given Input numbers are 458, 500, 80, 301

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 458, 500, 80, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 500, 80, 301 is 1.

Therefore, GCD of numbers 458, 500, 80, 301 is 1

Given Input Data is 458, 500, 80, 301

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 301 is 7 x 43

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(458, 500) = 114500

GCD(458, 500) = ( 458 x 500 ) / 114500

GCD(458, 500) = 229000 / 114500

GCD(458, 500) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 301

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

LCM(2, 301) = 602

GCD(2, 301) = ( 2 x 301 ) / 602

GCD(2, 301) = 602 / 602

GCD(2, 301) = 1

GCD of 458, 500, 80, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 206, 20, 809
• GCD of 746, 975, 88, 142
• GCD of 242, 128, 64, 769
• GCD of 167, 506, 89, 295
• GCD of 347, 826, 41, 591

1. What is the GCD of 458, 500, 80, 301?

GCD of 458, 500, 80, 301 is 1

2. Where do I get the detailed procedure to find GCD of 458, 500, 80, 301?

You can find a detailed procedure to find GCD of 458, 500, 80, 301 on our page.

3. How to find GCD of 458, 500, 80, 301 on a calculator?

You can find the GCD of 458, 500, 80, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.