GCD of 398, 614, 33, 748 Calculator

Given Input numbers are 398, 614, 33, 748

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

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

Greatest Common Divisior

We found the divisors of 398, 614, 33, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 614, 33, 748 is 1.

Therefore, GCD of numbers 398, 614, 33, 748 is 1

Given Input Data is 398, 614, 33, 748

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 614 is 2 x 307

Prime Factorization of 33 is 3 x 11

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

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(398, 614) = 122186

GCD(398, 614) = ( 398 x 614 ) / 122186

GCD(398, 614) = 244372 / 122186

GCD(398, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1

Step3:

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

GCD of 398, 614, 33, 748 is 1

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1. What is the GCD of 398, 614, 33, 748?

GCD of 398, 614, 33, 748 is 1

2. Where do I get the detailed procedure to find GCD of 398, 614, 33, 748?

You can find a detailed procedure to find GCD of 398, 614, 33, 748 on our page.

3. How to find GCD of 398, 614, 33, 748 on a calculator?

You can find the GCD of 398, 614, 33, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.