GCD of 817, 987, 174, 490 Calculator

Given Input numbers are 817, 987, 174, 490

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

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 817, 987, 174, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 817, 987, 174, 490 is 1.

Therefore, GCD of numbers 817, 987, 174, 490 is 1

Given Input Data is 817, 987, 174, 490

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

Prime Factorization of 817 is 19 x 43

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 490 is 2 x 5 x 7 x 7

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(817, 987) = 806379

GCD(817, 987) = ( 817 x 987 ) / 806379

GCD(817, 987) = 806379 / 806379

GCD(817, 987) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 817, 987, 174, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 401, 726, 651
• GCD of 605, 822, 527, 348
• GCD of 336, 623, 648, 981
• GCD of 871, 857, 887, 459
• GCD of 544, 921, 771, 636

1. What is the GCD of 817, 987, 174, 490?

GCD of 817, 987, 174, 490 is 1

2. Where do I get the detailed procedure to find GCD of 817, 987, 174, 490?

You can find a detailed procedure to find GCD of 817, 987, 174, 490 on our page.

3. How to find GCD of 817, 987, 174, 490 on a calculator?

You can find the GCD of 817, 987, 174, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.