GCD of 718, 484, 500, 574 Calculator

Given Input numbers are 718, 484, 500, 574

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

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

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 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 718, 484, 500, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 484, 500, 574 is 2.

Therefore, GCD of numbers 718, 484, 500, 574 is 2

Given Input Data is 718, 484, 500, 574

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 484 is 2 x 2 x 11 x 11

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

Prime Factorization of 574 is 2 x 7 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(718, 484) = 173756

GCD(718, 484) = ( 718 x 484 ) / 173756

GCD(718, 484) = 347512 / 173756

GCD(718, 484) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 500

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

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

GCD(2, 500) = 1000 / 500

GCD(2, 500) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 574

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

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

GCD(2, 574) = 1148 / 574

GCD(2, 574) = 2

GCD of 718, 484, 500, 574 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 227, 416, 511
• GCD of 928, 860, 486, 592
• GCD of 309, 499, 203, 303
• GCD of 698, 965, 290, 136
• GCD of 579, 437, 774, 394

1. What is the GCD of 718, 484, 500, 574?

GCD of 718, 484, 500, 574 is 2

2. Where do I get the detailed procedure to find GCD of 718, 484, 500, 574?

You can find a detailed procedure to find GCD of 718, 484, 500, 574 on our page.

3. How to find GCD of 718, 484, 500, 574 on a calculator?

You can find the GCD of 718, 484, 500, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.