GCD of 997, 518, 913, 828 Calculator

Given Input numbers are 997, 518, 913, 828

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

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 997, 518, 913, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 518, 913, 828 is 1.

Therefore, GCD of numbers 997, 518, 913, 828 is 1

Given Input Data is 997, 518, 913, 828

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

Prime Factorization of 997 is 997

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 913 is 11 x 83

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(997, 518) = 516446

GCD(997, 518) = ( 997 x 518 ) / 516446

GCD(997, 518) = 516446 / 516446

GCD(997, 518) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 913

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

LCM(1, 913) = 913

GCD(1, 913) = ( 1 x 913 ) / 913

GCD(1, 913) = 913 / 913

GCD(1, 913) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 997, 518, 913, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 258, 476, 968
• GCD of 141, 248, 453, 678
• GCD of 290, 775, 744, 343
• GCD of 817, 942, 742, 346
• GCD of 723, 895, 545, 396

1. What is the GCD of 997, 518, 913, 828?

GCD of 997, 518, 913, 828 is 1

2. Where do I get the detailed procedure to find GCD of 997, 518, 913, 828?

You can find a detailed procedure to find GCD of 997, 518, 913, 828 on our page.

3. How to find GCD of 997, 518, 913, 828 on a calculator?

You can find the GCD of 997, 518, 913, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.