GCD of 196, 218, 92, 844 Calculator

Given Input numbers are 196, 218, 92, 844

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

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 196, 218, 92, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 218, 92, 844 is 2.

Therefore, GCD of numbers 196, 218, 92, 844 is 2

Given Input Data is 196, 218, 92, 844

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 218 is 2 x 109

Prime Factorization of 92 is 2 x 2 x 23

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(196, 218) = 21364

GCD(196, 218) = ( 196 x 218 ) / 21364

GCD(196, 218) = 42728 / 21364

GCD(196, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 92

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

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

GCD(2, 92) = 184 / 92

GCD(2, 92) = 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 196, 218, 92, 844 is 2

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1. What is the GCD of 196, 218, 92, 844?

GCD of 196, 218, 92, 844 is 2

2. Where do I get the detailed procedure to find GCD of 196, 218, 92, 844?

You can find a detailed procedure to find GCD of 196, 218, 92, 844 on our page.

3. How to find GCD of 196, 218, 92, 844 on a calculator?

You can find the GCD of 196, 218, 92, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.