GCD of 120, 238, 560, 806 Calculator

Given Input numbers are 120, 238, 560, 806

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

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 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 806

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

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

Greatest Common Divisior

We found the divisors of 120, 238, 560, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 238, 560, 806 is 2.

Therefore, GCD of numbers 120, 238, 560, 806 is 2

Given Input Data is 120, 238, 560, 806

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

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 806 is 2 x 13 x 31

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(120, 238) = 14280

GCD(120, 238) = ( 120 x 238 ) / 14280

GCD(120, 238) = 28560 / 14280

GCD(120, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 560

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

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

GCD(2, 560) = 1120 / 560

GCD(2, 560) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 806

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

LCM(2, 806) = 806

GCD(2, 806) = ( 2 x 806 ) / 806

GCD(2, 806) = 1612 / 806

GCD(2, 806) = 2

GCD of 120, 238, 560, 806 is 2

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1. What is the GCD of 120, 238, 560, 806?

GCD of 120, 238, 560, 806 is 2

2. Where do I get the detailed procedure to find GCD of 120, 238, 560, 806?

You can find a detailed procedure to find GCD of 120, 238, 560, 806 on our page.

3. How to find GCD of 120, 238, 560, 806 on a calculator?

You can find the GCD of 120, 238, 560, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.