GCD of 303, 798, 843, 978 Calculator

Given Input numbers are 303, 798, 843, 978

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

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

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 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Divisors of 978

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

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

Greatest Common Divisior

We found the divisors of 303, 798, 843, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 798, 843, 978 is 3.

Therefore, GCD of numbers 303, 798, 843, 978 is 3

Given Input Data is 303, 798, 843, 978

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

Prime Factorization of 303 is 3 x 101

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

Prime Factorization of 843 is 3 x 281

Prime Factorization of 978 is 2 x 3 x 163

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(303, 798) = 80598

GCD(303, 798) = ( 303 x 798 ) / 80598

GCD(303, 798) = 241794 / 80598

GCD(303, 798) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 843

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

LCM(3, 843) = 843

GCD(3, 843) = ( 3 x 843 ) / 843

GCD(3, 843) = 2529 / 843

GCD(3, 843) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 978

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

LCM(3, 978) = 978

GCD(3, 978) = ( 3 x 978 ) / 978

GCD(3, 978) = 2934 / 978

GCD(3, 978) = 3

GCD of 303, 798, 843, 978 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 150, 655, 321
• GCD of 881, 427, 298, 249
• GCD of 439, 188, 874, 811
• GCD of 287, 532, 854, 403
• GCD of 161, 922, 795, 261

1. What is the GCD of 303, 798, 843, 978?

GCD of 303, 798, 843, 978 is 3

2. Where do I get the detailed procedure to find GCD of 303, 798, 843, 978?

You can find a detailed procedure to find GCD of 303, 798, 843, 978 on our page.

3. How to find GCD of 303, 798, 843, 978 on a calculator?

You can find the GCD of 303, 798, 843, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.