GCD of 978, 348, 822 Calculator

Given Input numbers are 978, 348, 822

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

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 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 978, 348, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 348, 822 is 6.

Therefore, GCD of numbers 978, 348, 822 is 6

Given Input Data is 978, 348, 822

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 822 is 2 x 3 x 137

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(978, 348) = 56724

GCD(978, 348) = ( 978 x 348 ) / 56724

GCD(978, 348) = 340344 / 56724

GCD(978, 348) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 822

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

LCM(6, 822) = 822

GCD(6, 822) = ( 6 x 822 ) / 822

GCD(6, 822) = 4932 / 822

GCD(6, 822) = 6

GCD of 978, 348, 822 is 6

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1. What is the GCD of 978, 348, 822?

GCD of 978, 348, 822 is 6

2. Where do I get the detailed procedure to find GCD of 978, 348, 822?

You can find a detailed procedure to find GCD of 978, 348, 822 on our page.

3. How to find GCD of 978, 348, 822 on a calculator?

You can find the GCD of 978, 348, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.