GCD of 91, 209, 517, 398 Calculator

Given Input numbers are 91, 209, 517, 398

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

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

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 91, 209, 517, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 209, 517, 398 is 1.

Therefore, GCD of numbers 91, 209, 517, 398 is 1

Given Input Data is 91, 209, 517, 398

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 209 is 11 x 19

Prime Factorization of 517 is 11 x 47

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(91, 209) = 19019

GCD(91, 209) = ( 91 x 209 ) / 19019

GCD(91, 209) = 19019 / 19019

GCD(91, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 517

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

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

GCD(1, 517) = 517 / 517

GCD(1, 517) = 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 91, 209, 517, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 793, 623, 503
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• GCD of 71, 351, 346, 475

1. What is the GCD of 91, 209, 517, 398?

GCD of 91, 209, 517, 398 is 1

2. Where do I get the detailed procedure to find GCD of 91, 209, 517, 398?

You can find a detailed procedure to find GCD of 91, 209, 517, 398 on our page.

3. How to find GCD of 91, 209, 517, 398 on a calculator?

You can find the GCD of 91, 209, 517, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.