GCD of 508, 749, 86, 808 Calculator

Given Input numbers are 508, 749, 86, 808

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 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 508, 749, 86, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 749, 86, 808 is 1.

Therefore, GCD of numbers 508, 749, 86, 808 is 1

Given Input Data is 508, 749, 86, 808

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 749 is 7 x 107

Prime Factorization of 86 is 2 x 43

Prime Factorization of 808 is 2 x 2 x 2 x 101

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(508, 749) = 380492

GCD(508, 749) = ( 508 x 749 ) / 380492

GCD(508, 749) = 380492 / 380492

GCD(508, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

GCD of 508, 749, 86, 808 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 508, 47, 200
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• GCD of 104, 873, 92, 131

1. What is the GCD of 508, 749, 86, 808?

GCD of 508, 749, 86, 808 is 1

2. Where do I get the detailed procedure to find GCD of 508, 749, 86, 808?

You can find a detailed procedure to find GCD of 508, 749, 86, 808 on our page.

3. How to find GCD of 508, 749, 86, 808 on a calculator?

You can find the GCD of 508, 749, 86, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.