GCD of 310, 488, 680 Calculator

Given Input numbers are 310, 488, 680

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 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 310, 488, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 488, 680 is 2.

Therefore, GCD of numbers 310, 488, 680 is 2

Given Input Data is 310, 488, 680

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 488 is 2 x 2 x 2 x 61

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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, 488) = 75640

GCD(310, 488) = ( 310 x 488 ) / 75640

GCD(310, 488) = 151280 / 75640

GCD(310, 488) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 680

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

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

GCD(2, 680) = 1360 / 680

GCD(2, 680) = 2

GCD of 310, 488, 680 is 2

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1. What is the GCD of 310, 488, 680?

GCD of 310, 488, 680 is 2

2. Where do I get the detailed procedure to find GCD of 310, 488, 680?

You can find a detailed procedure to find GCD of 310, 488, 680 on our page.

3. How to find GCD of 310, 488, 680 on a calculator?

You can find the GCD of 310, 488, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.