GCD of 500, 758, 496, 574 Calculator

Given Input numbers are 500, 758, 496, 574

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 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

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 500, 758, 496, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 758, 496, 574 is 2.

Therefore, GCD of numbers 500, 758, 496, 574 is 2

Given Input Data is 500, 758, 496, 574

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 758 is 2 x 379

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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(500, 758) = 189500

GCD(500, 758) = ( 500 x 758 ) / 189500

GCD(500, 758) = 379000 / 189500

GCD(500, 758) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 496

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

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

GCD(2, 496) = 992 / 496

GCD(2, 496) = 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 500, 758, 496, 574 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 340, 233, 212
• GCD of 919, 785, 911, 210
• GCD of 317, 815, 721, 378
• GCD of 444, 588, 899, 930
• GCD of 891, 528, 989, 648

1. What is the GCD of 500, 758, 496, 574?

GCD of 500, 758, 496, 574 is 2

2. Where do I get the detailed procedure to find GCD of 500, 758, 496, 574?

You can find a detailed procedure to find GCD of 500, 758, 496, 574 on our page.

3. How to find GCD of 500, 758, 496, 574 on a calculator?

You can find the GCD of 500, 758, 496, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.