GCD of 349, 819, 980 Calculator

Given Input numbers are 349, 819, 980

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

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

Greatest Common Divisior

We found the divisors of 349, 819, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 819, 980 is 1.

Therefore, GCD of numbers 349, 819, 980 is 1

Given Input Data is 349, 819, 980

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

Prime Factorization of 349 is 349

Prime Factorization of 819 is 3 x 3 x 7 x 13

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

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(349, 819) = 285831

GCD(349, 819) = ( 349 x 819 ) / 285831

GCD(349, 819) = 285831 / 285831

GCD(349, 819) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 349, 819, 980 is 1

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1. What is the GCD of 349, 819, 980?

GCD of 349, 819, 980 is 1

2. Where do I get the detailed procedure to find GCD of 349, 819, 980?

You can find a detailed procedure to find GCD of 349, 819, 980 on our page.

3. How to find GCD of 349, 819, 980 on a calculator?

You can find the GCD of 349, 819, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.