GCD of 506, 238, 248, 759 Calculator

Given Input numbers are 506, 238, 248, 759

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 506, 238, 248, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 238, 248, 759 is 1.

Therefore, GCD of numbers 506, 238, 248, 759 is 1

Given Input Data is 506, 238, 248, 759

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 759 is 3 x 11 x 23

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(506, 238) = 60214

GCD(506, 238) = ( 506 x 238 ) / 60214

GCD(506, 238) = 120428 / 60214

GCD(506, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 248

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

LCM(2, 248) = 248

GCD(2, 248) = ( 2 x 248 ) / 248

GCD(2, 248) = 496 / 248

GCD(2, 248) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 759

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

LCM(2, 759) = 1518

GCD(2, 759) = ( 2 x 759 ) / 1518

GCD(2, 759) = 1518 / 1518

GCD(2, 759) = 1

GCD of 506, 238, 248, 759 is 1

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1. What is the GCD of 506, 238, 248, 759?

GCD of 506, 238, 248, 759 is 1

2. Where do I get the detailed procedure to find GCD of 506, 238, 248, 759?

You can find a detailed procedure to find GCD of 506, 238, 248, 759 on our page.

3. How to find GCD of 506, 238, 248, 759 on a calculator?

You can find the GCD of 506, 238, 248, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.