GCD of 102, 349, 580 Calculator

Given Input numbers are 102, 349, 580

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 349

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

1, 349

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 102, 349, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 349, 580 is 1.

Therefore, GCD of numbers 102, 349, 580 is 1

Given Input Data is 102, 349, 580

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 349 is 349

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(102, 349) = 35598

GCD(102, 349) = ( 102 x 349 ) / 35598

GCD(102, 349) = 35598 / 35598

GCD(102, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 102, 349, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 301, 381
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• GCD of 846, 636, 210
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1. What is the GCD of 102, 349, 580?

GCD of 102, 349, 580 is 1

2. Where do I get the detailed procedure to find GCD of 102, 349, 580?

You can find a detailed procedure to find GCD of 102, 349, 580 on our page.

3. How to find GCD of 102, 349, 580 on a calculator?

You can find the GCD of 102, 349, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.