GCD of 998, 152, 775, 517 Calculator

Given Input numbers are 998, 152, 775, 517

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 517

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

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 998, 152, 775, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 152, 775, 517 is 1.

Therefore, GCD of numbers 998, 152, 775, 517 is 1

Given Input Data is 998, 152, 775, 517

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 517 is 11 x 47

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(998, 152) = 75848

GCD(998, 152) = ( 998 x 152 ) / 75848

GCD(998, 152) = 151696 / 75848

GCD(998, 152) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 775

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

LCM(2, 775) = 1550

GCD(2, 775) = ( 2 x 775 ) / 1550

GCD(2, 775) = 1550 / 1550

GCD(2, 775) = 1

Step3:

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

GCD of 998, 152, 775, 517 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 195, 481, 672
• GCD of 299, 735, 239, 557
• GCD of 913, 378, 476, 685
• GCD of 929, 472, 658, 582
• GCD of 640, 242, 194, 935

1. What is the GCD of 998, 152, 775, 517?

GCD of 998, 152, 775, 517 is 1

2. Where do I get the detailed procedure to find GCD of 998, 152, 775, 517?

You can find a detailed procedure to find GCD of 998, 152, 775, 517 on our page.

3. How to find GCD of 998, 152, 775, 517 on a calculator?

You can find the GCD of 998, 152, 775, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.