GCD of 499, 274, 159, 500 Calculator

Given Input numbers are 499, 274, 159, 500

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

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

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

Greatest Common Divisior

We found the divisors of 499, 274, 159, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 499, 274, 159, 500 is 1.

Therefore, GCD of numbers 499, 274, 159, 500 is 1

Given Input Data is 499, 274, 159, 500

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

Prime Factorization of 499 is 499

Prime Factorization of 274 is 2 x 137

Prime Factorization of 159 is 3 x 53

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

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(499, 274) = 136726

GCD(499, 274) = ( 499 x 274 ) / 136726

GCD(499, 274) = 136726 / 136726

GCD(499, 274) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 499, 274, 159, 500 is 1

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• GCD of 230, 111, 619, 883
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• GCD of 609, 214, 221, 354

1. What is the GCD of 499, 274, 159, 500?

GCD of 499, 274, 159, 500 is 1

2. Where do I get the detailed procedure to find GCD of 499, 274, 159, 500?

You can find a detailed procedure to find GCD of 499, 274, 159, 500 on our page.

3. How to find GCD of 499, 274, 159, 500 on a calculator?

You can find the GCD of 499, 274, 159, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.