GCD of 686, 980, 299 Calculator

Given Input numbers are 686, 980, 299

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 686, 980, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 980, 299 is 1.

Therefore, GCD of numbers 686, 980, 299 is 1

Given Input Data is 686, 980, 299

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 299 is 13 x 23

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(686, 980) = 6860

GCD(686, 980) = ( 686 x 980 ) / 6860

GCD(686, 980) = 672280 / 6860

GCD(686, 980) = 98

Step2:

Here we consider the GCD from the above i.e. 98 as first number and the next as 299

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

LCM(98, 299) = 29302

GCD(98, 299) = ( 98 x 299 ) / 29302

GCD(98, 299) = 29302 / 29302

GCD(98, 299) = 1

GCD of 686, 980, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 640, 595, 482
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1. What is the GCD of 686, 980, 299?

GCD of 686, 980, 299 is 1

2. Where do I get the detailed procedure to find GCD of 686, 980, 299?

You can find a detailed procedure to find GCD of 686, 980, 299 on our page.

3. How to find GCD of 686, 980, 299 on a calculator?

You can find the GCD of 686, 980, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.