GCD of 806, 452, 120, 298 Calculator

Given Input numbers are 806, 452, 120, 298

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

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 806, 452, 120, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 452, 120, 298 is 2.

Therefore, GCD of numbers 806, 452, 120, 298 is 2

Given Input Data is 806, 452, 120, 298

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 298 is 2 x 149

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(806, 452) = 182156

GCD(806, 452) = ( 806 x 452 ) / 182156

GCD(806, 452) = 364312 / 182156

GCD(806, 452) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 120

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

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

GCD(2, 120) = 240 / 120

GCD(2, 120) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 298

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

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

GCD(2, 298) = 596 / 298

GCD(2, 298) = 2

GCD of 806, 452, 120, 298 is 2

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1. What is the GCD of 806, 452, 120, 298?

GCD of 806, 452, 120, 298 is 2

2. Where do I get the detailed procedure to find GCD of 806, 452, 120, 298?

You can find a detailed procedure to find GCD of 806, 452, 120, 298 on our page.

3. How to find GCD of 806, 452, 120, 298 on a calculator?

You can find the GCD of 806, 452, 120, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.