GCD of 418, 720, 844, 310 Calculator

Given Input numbers are 418, 720, 844, 310

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

Divisors of 418

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

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 310

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

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

Greatest Common Divisior

We found the divisors of 418, 720, 844, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 720, 844, 310 is 2.

Therefore, GCD of numbers 418, 720, 844, 310 is 2

Given Input Data is 418, 720, 844, 310

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 310 is 2 x 5 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(418, 720) = 150480

GCD(418, 720) = ( 418 x 720 ) / 150480

GCD(418, 720) = 300960 / 150480

GCD(418, 720) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 310

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

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

GCD(2, 310) = 620 / 310

GCD(2, 310) = 2

GCD of 418, 720, 844, 310 is 2

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1. What is the GCD of 418, 720, 844, 310?

GCD of 418, 720, 844, 310 is 2

2. Where do I get the detailed procedure to find GCD of 418, 720, 844, 310?

You can find a detailed procedure to find GCD of 418, 720, 844, 310 on our page.

3. How to find GCD of 418, 720, 844, 310 on a calculator?

You can find the GCD of 418, 720, 844, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.