GCD of 508, 600, 404, 710 Calculator

Given Input numbers are 508, 600, 404, 710

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Greatest Common Divisior

We found the divisors of 508, 600, 404, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 600, 404, 710 is 2.

Therefore, GCD of numbers 508, 600, 404, 710 is 2

Given Input Data is 508, 600, 404, 710

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 710 is 2 x 5 x 71

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(508, 600) = 76200

GCD(508, 600) = ( 508 x 600 ) / 76200

GCD(508, 600) = 304800 / 76200

GCD(508, 600) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 404

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

LCM(4, 404) = 404

GCD(4, 404) = ( 4 x 404 ) / 404

GCD(4, 404) = 1616 / 404

GCD(4, 404) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 710

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

LCM(4, 710) = 1420

GCD(4, 710) = ( 4 x 710 ) / 1420

GCD(4, 710) = 2840 / 1420

GCD(4, 710) = 2

GCD of 508, 600, 404, 710 is 2

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1. What is the GCD of 508, 600, 404, 710?

GCD of 508, 600, 404, 710 is 2

2. Where do I get the detailed procedure to find GCD of 508, 600, 404, 710?

You can find a detailed procedure to find GCD of 508, 600, 404, 710 on our page.

3. How to find GCD of 508, 600, 404, 710 on a calculator?

You can find the GCD of 508, 600, 404, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.