GCD of 754, 609, 41, 398 Calculator

Given Input numbers are 754, 609, 41, 398

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 398

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

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 754, 609, 41, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 609, 41, 398 is 1.

Therefore, GCD of numbers 754, 609, 41, 398 is 1

Given Input Data is 754, 609, 41, 398

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 41 is 41

Prime Factorization of 398 is 2 x 199

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(754, 609) = 15834

GCD(754, 609) = ( 754 x 609 ) / 15834

GCD(754, 609) = 459186 / 15834

GCD(754, 609) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 41

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

LCM(29, 41) = 1189

GCD(29, 41) = ( 29 x 41 ) / 1189

GCD(29, 41) = 1189 / 1189

GCD(29, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 754, 609, 41, 398 is 1

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1. What is the GCD of 754, 609, 41, 398?

GCD of 754, 609, 41, 398 is 1

2. Where do I get the detailed procedure to find GCD of 754, 609, 41, 398?

You can find a detailed procedure to find GCD of 754, 609, 41, 398 on our page.

3. How to find GCD of 754, 609, 41, 398 on a calculator?

You can find the GCD of 754, 609, 41, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.