GCD of 317, 580, 65, 548 Calculator

Given Input numbers are 317, 580, 65, 548

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

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

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 65

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

1, 5, 13, 65

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Greatest Common Divisior

We found the divisors of 317, 580, 65, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 580, 65, 548 is 1.

Therefore, GCD of numbers 317, 580, 65, 548 is 1

Given Input Data is 317, 580, 65, 548

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

Prime Factorization of 317 is 317

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 548 is 2 x 2 x 137

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(317, 580) = 183860

GCD(317, 580) = ( 317 x 580 ) / 183860

GCD(317, 580) = 183860 / 183860

GCD(317, 580) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 548

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

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

GCD(1, 548) = 548 / 548

GCD(1, 548) = 1

GCD of 317, 580, 65, 548 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 641, 74, 587
• GCD of 316, 177, 45, 809
• GCD of 364, 768, 99, 386
• GCD of 914, 399, 53, 121
• GCD of 829, 122, 16, 220

1. What is the GCD of 317, 580, 65, 548?

GCD of 317, 580, 65, 548 is 1

2. Where do I get the detailed procedure to find GCD of 317, 580, 65, 548?

You can find a detailed procedure to find GCD of 317, 580, 65, 548 on our page.

3. How to find GCD of 317, 580, 65, 548 on a calculator?

You can find the GCD of 317, 580, 65, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.