GCD of 748, 913, 28, 508 Calculator

Given Input numbers are 748, 913, 28, 508

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

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 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 508

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

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 748, 913, 28, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 913, 28, 508 is 1.

Therefore, GCD of numbers 748, 913, 28, 508 is 1

Given Input Data is 748, 913, 28, 508

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

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

Prime Factorization of 913 is 11 x 83

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 508 is 2 x 2 x 127

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(748, 913) = 62084

GCD(748, 913) = ( 748 x 913 ) / 62084

GCD(748, 913) = 682924 / 62084

GCD(748, 913) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 28

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

LCM(11, 28) = 308

GCD(11, 28) = ( 11 x 28 ) / 308

GCD(11, 28) = 308 / 308

GCD(11, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 748, 913, 28, 508 is 1

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• GCD of 713, 364, 21, 940
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1. What is the GCD of 748, 913, 28, 508?

GCD of 748, 913, 28, 508 is 1

2. Where do I get the detailed procedure to find GCD of 748, 913, 28, 508?

You can find a detailed procedure to find GCD of 748, 913, 28, 508 on our page.

3. How to find GCD of 748, 913, 28, 508 on a calculator?

You can find the GCD of 748, 913, 28, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.