GCD of 921, 558, 17, 991 Calculator

Given Input numbers are 921, 558, 17, 991

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

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 921, 558, 17, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 558, 17, 991 is 1.

Therefore, GCD of numbers 921, 558, 17, 991 is 1

Given Input Data is 921, 558, 17, 991

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

Prime Factorization of 921 is 3 x 307

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 17 is 17

Prime Factorization of 991 is 991

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(921, 558) = 171306

GCD(921, 558) = ( 921 x 558 ) / 171306

GCD(921, 558) = 513918 / 171306

GCD(921, 558) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 17

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

LCM(3, 17) = 51

GCD(3, 17) = ( 3 x 17 ) / 51

GCD(3, 17) = 51 / 51

GCD(3, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 921, 558, 17, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 650, 69, 990
• GCD of 427, 520, 29, 719
• GCD of 796, 286, 29, 492
• GCD of 874, 295, 99, 683
• GCD of 655, 327, 68, 602

1. What is the GCD of 921, 558, 17, 991?

GCD of 921, 558, 17, 991 is 1

2. Where do I get the detailed procedure to find GCD of 921, 558, 17, 991?

You can find a detailed procedure to find GCD of 921, 558, 17, 991 on our page.

3. How to find GCD of 921, 558, 17, 991 on a calculator?

You can find the GCD of 921, 558, 17, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.