GCD of 494, 998, 35, 491 Calculator

Given Input numbers are 494, 998, 35, 491

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 998

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

1, 2, 499, 998

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 494, 998, 35, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 998, 35, 491 is 1.

Therefore, GCD of numbers 494, 998, 35, 491 is 1

Given Input Data is 494, 998, 35, 491

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 998 is 2 x 499

Prime Factorization of 35 is 5 x 7

Prime Factorization of 491 is 491

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(494, 998) = 246506

GCD(494, 998) = ( 494 x 998 ) / 246506

GCD(494, 998) = 493012 / 246506

GCD(494, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 35

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

LCM(2, 35) = 70

GCD(2, 35) = ( 2 x 35 ) / 70

GCD(2, 35) = 70 / 70

GCD(2, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 494, 998, 35, 491 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 653, 89, 500
• GCD of 226, 378, 44, 328
• GCD of 926, 828, 53, 816
• GCD of 615, 396, 17, 390
• GCD of 374, 419, 16, 865

1. What is the GCD of 494, 998, 35, 491?

GCD of 494, 998, 35, 491 is 1

2. Where do I get the detailed procedure to find GCD of 494, 998, 35, 491?

You can find a detailed procedure to find GCD of 494, 998, 35, 491 on our page.

3. How to find GCD of 494, 998, 35, 491 on a calculator?

You can find the GCD of 494, 998, 35, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.