GCD of 842, 178, 96 Calculator

Given Input numbers are 842, 178, 96

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Greatest Common Divisior

We found the divisors of 842, 178, 96 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 178, 96 is 2.

Therefore, GCD of numbers 842, 178, 96 is 2

Given Input Data is 842, 178, 96

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 178 is 2 x 89

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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(842, 178) = 74938

GCD(842, 178) = ( 842 x 178 ) / 74938

GCD(842, 178) = 149876 / 74938

GCD(842, 178) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 96

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

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

GCD(2, 96) = 192 / 96

GCD(2, 96) = 2

GCD of 842, 178, 96 is 2

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1. What is the GCD of 842, 178, 96?

GCD of 842, 178, 96 is 2

2. Where do I get the detailed procedure to find GCD of 842, 178, 96?

You can find a detailed procedure to find GCD of 842, 178, 96 on our page.

3. How to find GCD of 842, 178, 96 on a calculator?

You can find the GCD of 842, 178, 96 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.