GCD of 310, 806, 80, 418 Calculator

Given Input numbers are 310, 806, 80, 418

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

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 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 310, 806, 80, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 806, 80, 418 is 2.

Therefore, GCD of numbers 310, 806, 80, 418 is 2

Given Input Data is 310, 806, 80, 418

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 418 is 2 x 11 x 19

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(310, 806) = 4030

GCD(310, 806) = ( 310 x 806 ) / 4030

GCD(310, 806) = 249860 / 4030

GCD(310, 806) = 62

Step2:

Here we consider the GCD from the above i.e. 62 as first number and the next as 80

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

LCM(62, 80) = 2480

GCD(62, 80) = ( 62 x 80 ) / 2480

GCD(62, 80) = 4960 / 2480

GCD(62, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 418

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

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

GCD(2, 418) = 836 / 418

GCD(2, 418) = 2

GCD of 310, 806, 80, 418 is 2

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• GCD of 524, 464, 23, 553
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1. What is the GCD of 310, 806, 80, 418?

GCD of 310, 806, 80, 418 is 2

2. Where do I get the detailed procedure to find GCD of 310, 806, 80, 418?

You can find a detailed procedure to find GCD of 310, 806, 80, 418 on our page.

3. How to find GCD of 310, 806, 80, 418 on a calculator?

You can find the GCD of 310, 806, 80, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.