GCD of 500, 996, 359, 261 Calculator

Given Input numbers are 500, 996, 359, 261

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

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 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 500, 996, 359, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 996, 359, 261 is 1.

Therefore, GCD of numbers 500, 996, 359, 261 is 1

Given Input Data is 500, 996, 359, 261

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

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 359 is 359

Prime Factorization of 261 is 3 x 3 x 29

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(500, 996) = 124500

GCD(500, 996) = ( 500 x 996 ) / 124500

GCD(500, 996) = 498000 / 124500

GCD(500, 996) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 359

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

LCM(4, 359) = 1436

GCD(4, 359) = ( 4 x 359 ) / 1436

GCD(4, 359) = 1436 / 1436

GCD(4, 359) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 261

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

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

GCD(1, 261) = 261 / 261

GCD(1, 261) = 1

GCD of 500, 996, 359, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 858, 361, 274
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• GCD of 203, 397, 439, 744

1. What is the GCD of 500, 996, 359, 261?

GCD of 500, 996, 359, 261 is 1

2. Where do I get the detailed procedure to find GCD of 500, 996, 359, 261?

You can find a detailed procedure to find GCD of 500, 996, 359, 261 on our page.

3. How to find GCD of 500, 996, 359, 261 on a calculator?

You can find the GCD of 500, 996, 359, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.