GCD of 984, 613, 278, 500 Calculator

Given Input numbers are 984, 613, 278, 500

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

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 984, 613, 278, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 613, 278, 500 is 1.

Therefore, GCD of numbers 984, 613, 278, 500 is 1

Given Input Data is 984, 613, 278, 500

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 613 is 613

Prime Factorization of 278 is 2 x 139

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(984, 613) = 603192

GCD(984, 613) = ( 984 x 613 ) / 603192

GCD(984, 613) = 603192 / 603192

GCD(984, 613) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 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 984, 613, 278, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 649, 768, 684
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• GCD of 859, 174, 858, 692

1. What is the GCD of 984, 613, 278, 500?

GCD of 984, 613, 278, 500 is 1

2. Where do I get the detailed procedure to find GCD of 984, 613, 278, 500?

You can find a detailed procedure to find GCD of 984, 613, 278, 500 on our page.

3. How to find GCD of 984, 613, 278, 500 on a calculator?

You can find the GCD of 984, 613, 278, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.