GCD of 716, 340, 29, 680 Calculator

Given Input numbers are 716, 340, 29, 680

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

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

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 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

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 716, 340, 29, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 340, 29, 680 is 1.

Therefore, GCD of numbers 716, 340, 29, 680 is 1

Given Input Data is 716, 340, 29, 680

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

Prime Factorization of 716 is 2 x 2 x 179

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

Prime Factorization of 29 is 29

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

The above numbers do not have any common prime factor. So GCD is 1

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(716, 340) = 60860

GCD(716, 340) = ( 716 x 340 ) / 60860

GCD(716, 340) = 243440 / 60860

GCD(716, 340) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 29

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

LCM(4, 29) = 116

GCD(4, 29) = ( 4 x 29 ) / 116

GCD(4, 29) = 116 / 116

GCD(4, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 716, 340, 29, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 515, 359, 96, 459
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1. What is the GCD of 716, 340, 29, 680?

GCD of 716, 340, 29, 680 is 1

2. Where do I get the detailed procedure to find GCD of 716, 340, 29, 680?

You can find a detailed procedure to find GCD of 716, 340, 29, 680 on our page.

3. How to find GCD of 716, 340, 29, 680 on a calculator?

You can find the GCD of 716, 340, 29, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.