GCD of 978, 342, 82, 844 Calculator

Given Input numbers are 978, 342, 82, 844

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 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Greatest Common Divisior

We found the divisors of 978, 342, 82, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 342, 82, 844 is 2.

Therefore, GCD of numbers 978, 342, 82, 844 is 2

Given Input Data is 978, 342, 82, 844

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 342 is 2 x 3 x 3 x 19

Prime Factorization of 82 is 2 x 41

Prime Factorization of 844 is 2 x 2 x 211

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 342) = 55746

GCD(978, 342) = ( 978 x 342 ) / 55746

GCD(978, 342) = 334476 / 55746

GCD(978, 342) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 82

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

LCM(6, 82) = 246

GCD(6, 82) = ( 6 x 82 ) / 246

GCD(6, 82) = 492 / 246

GCD(6, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 844

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

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

GCD(2, 844) = 1688 / 844

GCD(2, 844) = 2

GCD of 978, 342, 82, 844 is 2

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1. What is the GCD of 978, 342, 82, 844?

GCD of 978, 342, 82, 844 is 2

2. Where do I get the detailed procedure to find GCD of 978, 342, 82, 844?

You can find a detailed procedure to find GCD of 978, 342, 82, 844 on our page.

3. How to find GCD of 978, 342, 82, 844 on a calculator?

You can find the GCD of 978, 342, 82, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.