GCD of 798, 687, 934, 498 Calculator

Given Input numbers are 798, 687, 934, 498

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 798, 687, 934, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 687, 934, 498 is 1.

Therefore, GCD of numbers 798, 687, 934, 498 is 1

Given Input Data is 798, 687, 934, 498

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 687 is 3 x 229

Prime Factorization of 934 is 2 x 467

Prime Factorization of 498 is 2 x 3 x 83

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(798, 687) = 182742

GCD(798, 687) = ( 798 x 687 ) / 182742

GCD(798, 687) = 548226 / 182742

GCD(798, 687) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 934

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

LCM(3, 934) = 2802

GCD(3, 934) = ( 3 x 934 ) / 2802

GCD(3, 934) = 2802 / 2802

GCD(3, 934) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 798, 687, 934, 498 is 1

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1. What is the GCD of 798, 687, 934, 498?

GCD of 798, 687, 934, 498 is 1

2. Where do I get the detailed procedure to find GCD of 798, 687, 934, 498?

You can find a detailed procedure to find GCD of 798, 687, 934, 498 on our page.

3. How to find GCD of 798, 687, 934, 498 on a calculator?

You can find the GCD of 798, 687, 934, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.