GCD of 822, 340, 98, 844 Calculator

Given Input numbers are 822, 340, 98, 844

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

Divisors of 822

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

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

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 822, 340, 98, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 340, 98, 844 is 2.

Therefore, GCD of numbers 822, 340, 98, 844 is 2

Given Input Data is 822, 340, 98, 844

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 98 is 2 x 7 x 7

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(822, 340) = 139740

GCD(822, 340) = ( 822 x 340 ) / 139740

GCD(822, 340) = 279480 / 139740

GCD(822, 340) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 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 822, 340, 98, 844 is 2

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1. What is the GCD of 822, 340, 98, 844?

GCD of 822, 340, 98, 844 is 2

2. Where do I get the detailed procedure to find GCD of 822, 340, 98, 844?

You can find a detailed procedure to find GCD of 822, 340, 98, 844 on our page.

3. How to find GCD of 822, 340, 98, 844 on a calculator?

You can find the GCD of 822, 340, 98, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.