GCD of 748, 413, 89, 605 Calculator

Given Input numbers are 748, 413, 89, 605

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 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Greatest Common Divisior

We found the divisors of 748, 413, 89, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 413, 89, 605 is 1.

Therefore, GCD of numbers 748, 413, 89, 605 is 1

Given Input Data is 748, 413, 89, 605

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 89 is 89

Prime Factorization of 605 is 5 x 11 x 11

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 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 605

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

LCM(1, 605) = 605

GCD(1, 605) = ( 1 x 605 ) / 605

GCD(1, 605) = 605 / 605

GCD(1, 605) = 1

GCD of 748, 413, 89, 605 is 1

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1. What is the GCD of 748, 413, 89, 605?

GCD of 748, 413, 89, 605 is 1

2. Where do I get the detailed procedure to find GCD of 748, 413, 89, 605?

You can find a detailed procedure to find GCD of 748, 413, 89, 605 on our page.

3. How to find GCD of 748, 413, 89, 605 on a calculator?

You can find the GCD of 748, 413, 89, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.