GCD of 491, 500, 24, 142 Calculator

Given Input numbers are 491, 500, 24, 142

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

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

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 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 491, 500, 24, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 500, 24, 142 is 1.

Therefore, GCD of numbers 491, 500, 24, 142 is 1

Given Input Data is 491, 500, 24, 142

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

Prime Factorization of 491 is 491

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 142 is 2 x 71

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(491, 500) = 245500

GCD(491, 500) = ( 491 x 500 ) / 245500

GCD(491, 500) = 245500 / 245500

GCD(491, 500) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 491, 500, 24, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 415, 946, 11, 292
• GCD of 219, 770, 93, 519
• GCD of 924, 411, 10, 145
• GCD of 499, 342, 78, 365
• GCD of 173, 331, 83, 957

1. What is the GCD of 491, 500, 24, 142?

GCD of 491, 500, 24, 142 is 1

2. Where do I get the detailed procedure to find GCD of 491, 500, 24, 142?

You can find a detailed procedure to find GCD of 491, 500, 24, 142 on our page.

3. How to find GCD of 491, 500, 24, 142 on a calculator?

You can find the GCD of 491, 500, 24, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.