GCD of 510, 886, 340 Calculator

Given Input numbers are 510, 886, 340

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 510, 886, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 886, 340 is 2.

Therefore, GCD of numbers 510, 886, 340 is 2

Given Input Data is 510, 886, 340

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 886 is 2 x 443

Prime Factorization of 340 is 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(510, 886) = 225930

GCD(510, 886) = ( 510 x 886 ) / 225930

GCD(510, 886) = 451860 / 225930

GCD(510, 886) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 340

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

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

GCD(2, 340) = 680 / 340

GCD(2, 340) = 2

GCD of 510, 886, 340 is 2

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1. What is the GCD of 510, 886, 340?

GCD of 510, 886, 340 is 2

2. Where do I get the detailed procedure to find GCD of 510, 886, 340?

You can find a detailed procedure to find GCD of 510, 886, 340 on our page.

3. How to find GCD of 510, 886, 340 on a calculator?

You can find the GCD of 510, 886, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.