GCD of 353, 506, 748, 503 Calculator

Given Input numbers are 353, 506, 748, 503

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

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 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Greatest Common Divisior

We found the divisors of 353, 506, 748, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 506, 748, 503 is 1.

Therefore, GCD of numbers 353, 506, 748, 503 is 1

Given Input Data is 353, 506, 748, 503

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

Prime Factorization of 353 is 353

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 503 is 503

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(353, 506) = 178618

GCD(353, 506) = ( 353 x 506 ) / 178618

GCD(353, 506) = 178618 / 178618

GCD(353, 506) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 503

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

LCM(1, 503) = 503

GCD(1, 503) = ( 1 x 503 ) / 503

GCD(1, 503) = 503 / 503

GCD(1, 503) = 1

GCD of 353, 506, 748, 503 is 1

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1. What is the GCD of 353, 506, 748, 503?

GCD of 353, 506, 748, 503 is 1

2. Where do I get the detailed procedure to find GCD of 353, 506, 748, 503?

You can find a detailed procedure to find GCD of 353, 506, 748, 503 on our page.

3. How to find GCD of 353, 506, 748, 503 on a calculator?

You can find the GCD of 353, 506, 748, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.