GCD of 580, 424, 14, 835 Calculator

Given Input numbers are 580, 424, 14, 835

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 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Greatest Common Divisior

We found the divisors of 580, 424, 14, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 424, 14, 835 is 1.

Therefore, GCD of numbers 580, 424, 14, 835 is 1

Given Input Data is 580, 424, 14, 835

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 424 is 2 x 2 x 2 x 53

Prime Factorization of 14 is 2 x 7

Prime Factorization of 835 is 5 x 167

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, 424) = 61480

GCD(580, 424) = ( 580 x 424 ) / 61480

GCD(580, 424) = 245920 / 61480

GCD(580, 424) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 14

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

LCM(4, 14) = 28

GCD(4, 14) = ( 4 x 14 ) / 28

GCD(4, 14) = 56 / 28

GCD(4, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 835

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

LCM(2, 835) = 1670

GCD(2, 835) = ( 2 x 835 ) / 1670

GCD(2, 835) = 1670 / 1670

GCD(2, 835) = 1

GCD of 580, 424, 14, 835 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 210, 14, 650
• GCD of 291, 267, 18, 858
• GCD of 164, 521, 22, 623
• GCD of 783, 393, 31, 954
• GCD of 285, 227, 14, 623

1. What is the GCD of 580, 424, 14, 835?

GCD of 580, 424, 14, 835 is 1

2. Where do I get the detailed procedure to find GCD of 580, 424, 14, 835?

You can find a detailed procedure to find GCD of 580, 424, 14, 835 on our page.

3. How to find GCD of 580, 424, 14, 835 on a calculator?

You can find the GCD of 580, 424, 14, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.