GCD of 731, 398, 15, 890 Calculator

Given Input numbers are 731, 398, 15, 890

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 398

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

1, 2, 199, 398

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 731, 398, 15, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 398, 15, 890 is 1.

Therefore, GCD of numbers 731, 398, 15, 890 is 1

Given Input Data is 731, 398, 15, 890

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

Prime Factorization of 731 is 17 x 43

Prime Factorization of 398 is 2 x 199

Prime Factorization of 15 is 3 x 5

Prime Factorization of 890 is 2 x 5 x 89

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, 398) = 290938

GCD(731, 398) = ( 731 x 398 ) / 290938

GCD(731, 398) = 290938 / 290938

GCD(731, 398) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

GCD of 731, 398, 15, 890 is 1

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1. What is the GCD of 731, 398, 15, 890?

GCD of 731, 398, 15, 890 is 1

2. Where do I get the detailed procedure to find GCD of 731, 398, 15, 890?

You can find a detailed procedure to find GCD of 731, 398, 15, 890 on our page.

3. How to find GCD of 731, 398, 15, 890 on a calculator?

You can find the GCD of 731, 398, 15, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.