GCD of 580, 928, 65, 349 Calculator

Given Input numbers are 580, 928, 65, 349

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

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 349

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

1, 349

Greatest Common Divisior

We found the divisors of 580, 928, 65, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 928, 65, 349 is 1.

Therefore, GCD of numbers 580, 928, 65, 349 is 1

Given Input Data is 580, 928, 65, 349

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

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 65 is 5 x 13

Prime Factorization of 349 is 349

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(580, 928) = 4640

GCD(580, 928) = ( 580 x 928 ) / 4640

GCD(580, 928) = 538240 / 4640

GCD(580, 928) = 116

Step2:

Here we consider the GCD from the above i.e. 116 as first number and the next as 65

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

LCM(116, 65) = 7540

GCD(116, 65) = ( 116 x 65 ) / 7540

GCD(116, 65) = 7540 / 7540

GCD(116, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 580, 928, 65, 349 is 1

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• GCD of 584, 260, 34, 908
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1. What is the GCD of 580, 928, 65, 349?

GCD of 580, 928, 65, 349 is 1

2. Where do I get the detailed procedure to find GCD of 580, 928, 65, 349?

You can find a detailed procedure to find GCD of 580, 928, 65, 349 on our page.

3. How to find GCD of 580, 928, 65, 349 on a calculator?

You can find the GCD of 580, 928, 65, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.