GCD of 748, 413, 779, 382 Calculator

Given Input numbers are 748, 413, 779, 382

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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 748, 413, 779, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 413, 779, 382 is 1.

Therefore, GCD of numbers 748, 413, 779, 382 is 1

Given Input Data is 748, 413, 779, 382

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 413 is 7 x 59

Prime Factorization of 779 is 19 x 41

Prime Factorization of 382 is 2 x 191

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, 413) = 308924

GCD(748, 413) = ( 748 x 413 ) / 308924

GCD(748, 413) = 308924 / 308924

GCD(748, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 779

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

LCM(1, 779) = 779

GCD(1, 779) = ( 1 x 779 ) / 779

GCD(1, 779) = 779 / 779

GCD(1, 779) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 748, 413, 779, 382 is 1

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• GCD of 287, 612, 126, 834
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• GCD of 352, 955, 886, 579

1. What is the GCD of 748, 413, 779, 382?

GCD of 748, 413, 779, 382 is 1

2. Where do I get the detailed procedure to find GCD of 748, 413, 779, 382?

You can find a detailed procedure to find GCD of 748, 413, 779, 382 on our page.

3. How to find GCD of 748, 413, 779, 382 on a calculator?

You can find the GCD of 748, 413, 779, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.