GCD of 508, 614, 31, 104 Calculator

Given Input numbers are 508, 614, 31, 104

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 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 508, 614, 31, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 614, 31, 104 is 1.

Therefore, GCD of numbers 508, 614, 31, 104 is 1

Given Input Data is 508, 614, 31, 104

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 614 is 2 x 307

Prime Factorization of 31 is 31

Prime Factorization of 104 is 2 x 2 x 2 x 13

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, 614) = 155956

GCD(508, 614) = ( 508 x 614 ) / 155956

GCD(508, 614) = 311912 / 155956

GCD(508, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 508, 614, 31, 104 is 1

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• GCD of 974, 111, 76, 215
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1. What is the GCD of 508, 614, 31, 104?

GCD of 508, 614, 31, 104 is 1

2. Where do I get the detailed procedure to find GCD of 508, 614, 31, 104?

You can find a detailed procedure to find GCD of 508, 614, 31, 104 on our page.

3. How to find GCD of 508, 614, 31, 104 on a calculator?

You can find the GCD of 508, 614, 31, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.