GCD of 516, 340, 680 Calculator

Given Input numbers are 516, 340, 680

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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

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 516, 340, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 340, 680 is 4.

Therefore, GCD of numbers 516, 340, 680 is 4

Given Input Data is 516, 340, 680

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 340 is 2 x 2 x 5 x 17

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(516, 340) = 43860

GCD(516, 340) = ( 516 x 340 ) / 43860

GCD(516, 340) = 175440 / 43860

GCD(516, 340) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 680

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

LCM(4, 680) = 680

GCD(4, 680) = ( 4 x 680 ) / 680

GCD(4, 680) = 2720 / 680

GCD(4, 680) = 4

GCD of 516, 340, 680 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 500, 625
• GCD of 140, 322, 401
• GCD of 757, 164, 827
• GCD of 747, 445, 254
• GCD of 160, 421, 967

1. What is the GCD of 516, 340, 680?

GCD of 516, 340, 680 is 4

2. Where do I get the detailed procedure to find GCD of 516, 340, 680?

You can find a detailed procedure to find GCD of 516, 340, 680 on our page.

3. How to find GCD of 516, 340, 680 on a calculator?

You can find the GCD of 516, 340, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.