GCD of 434, 580, 14, 649 Calculator

Given Input numbers are 434, 580, 14, 649

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

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 14

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

1, 2, 7, 14

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 434, 580, 14, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 580, 14, 649 is 1.

Therefore, GCD of numbers 434, 580, 14, 649 is 1

Given Input Data is 434, 580, 14, 649

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

Prime Factorization of 434 is 2 x 7 x 31

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 649 is 11 x 59

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(434, 580) = 125860

GCD(434, 580) = ( 434 x 580 ) / 125860

GCD(434, 580) = 251720 / 125860

GCD(434, 580) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 649

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

LCM(2, 649) = 1298

GCD(2, 649) = ( 2 x 649 ) / 1298

GCD(2, 649) = 1298 / 1298

GCD(2, 649) = 1

GCD of 434, 580, 14, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 629, 12, 668
• GCD of 335, 976, 83, 248
• GCD of 100, 476, 72, 939
• GCD of 539, 804, 18, 214
• GCD of 806, 849, 49, 109

1. What is the GCD of 434, 580, 14, 649?

GCD of 434, 580, 14, 649 is 1

2. Where do I get the detailed procedure to find GCD of 434, 580, 14, 649?

You can find a detailed procedure to find GCD of 434, 580, 14, 649 on our page.

3. How to find GCD of 434, 580, 14, 649 on a calculator?

You can find the GCD of 434, 580, 14, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.