GCD of 798, 412, 547, 109 Calculator

Given Input numbers are 798, 412, 547, 109

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 798, 412, 547, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 412, 547, 109 is 1.

Therefore, GCD of numbers 798, 412, 547, 109 is 1

Given Input Data is 798, 412, 547, 109

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 412 is 2 x 2 x 103

Prime Factorization of 547 is 547

Prime Factorization of 109 is 109

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, 412) = 164388

GCD(798, 412) = ( 798 x 412 ) / 164388

GCD(798, 412) = 328776 / 164388

GCD(798, 412) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 547

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

LCM(2, 547) = 1094

GCD(2, 547) = ( 2 x 547 ) / 1094

GCD(2, 547) = 1094 / 1094

GCD(2, 547) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 798, 412, 547, 109 is 1

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1. What is the GCD of 798, 412, 547, 109?

GCD of 798, 412, 547, 109 is 1

2. Where do I get the detailed procedure to find GCD of 798, 412, 547, 109?

You can find a detailed procedure to find GCD of 798, 412, 547, 109 on our page.

3. How to find GCD of 798, 412, 547, 109 on a calculator?

You can find the GCD of 798, 412, 547, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.