GCD of 731, 969, 305, 398 Calculator

Given Input numbers are 731, 969, 305, 398

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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

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 731, 969, 305, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 969, 305, 398 is 1.

Therefore, GCD of numbers 731, 969, 305, 398 is 1

Given Input Data is 731, 969, 305, 398

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 305 is 5 x 61

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(731, 969) = 41667

GCD(731, 969) = ( 731 x 969 ) / 41667

GCD(731, 969) = 708339 / 41667

GCD(731, 969) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 305

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

LCM(17, 305) = 5185

GCD(17, 305) = ( 17 x 305 ) / 5185

GCD(17, 305) = 5185 / 5185

GCD(17, 305) = 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 731, 969, 305, 398 is 1

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1. What is the GCD of 731, 969, 305, 398?

GCD of 731, 969, 305, 398 is 1

2. Where do I get the detailed procedure to find GCD of 731, 969, 305, 398?

You can find a detailed procedure to find GCD of 731, 969, 305, 398 on our page.

3. How to find GCD of 731, 969, 305, 398 on a calculator?

You can find the GCD of 731, 969, 305, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.