GCD of 798, 721, 978, 671 Calculator

Given Input numbers are 798, 721, 978, 671

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 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Greatest Common Divisior

We found the divisors of 798, 721, 978, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 721, 978, 671 is 1.

Therefore, GCD of numbers 798, 721, 978, 671 is 1

Given Input Data is 798, 721, 978, 671

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 721 is 7 x 103

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 671 is 11 x 61

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, 721) = 82194

GCD(798, 721) = ( 798 x 721 ) / 82194

GCD(798, 721) = 575358 / 82194

GCD(798, 721) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 978

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

LCM(7, 978) = 6846

GCD(7, 978) = ( 7 x 978 ) / 6846

GCD(7, 978) = 6846 / 6846

GCD(7, 978) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 671

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

LCM(1, 671) = 671

GCD(1, 671) = ( 1 x 671 ) / 671

GCD(1, 671) = 671 / 671

GCD(1, 671) = 1

GCD of 798, 721, 978, 671 is 1

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1. What is the GCD of 798, 721, 978, 671?

GCD of 798, 721, 978, 671 is 1

2. Where do I get the detailed procedure to find GCD of 798, 721, 978, 671?

You can find a detailed procedure to find GCD of 798, 721, 978, 671 on our page.

3. How to find GCD of 798, 721, 978, 671 on a calculator?

You can find the GCD of 798, 721, 978, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.