GCD of 323, 480, 29, 709 Calculator

Given Input numbers are 323, 480, 29, 709

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

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 323, 480, 29, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 480, 29, 709 is 1.

Therefore, GCD of numbers 323, 480, 29, 709 is 1

Given Input Data is 323, 480, 29, 709

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

Prime Factorization of 323 is 17 x 19

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 29 is 29

Prime Factorization of 709 is 709

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(323, 480) = 155040

GCD(323, 480) = ( 323 x 480 ) / 155040

GCD(323, 480) = 155040 / 155040

GCD(323, 480) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 323, 480, 29, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 212, 15, 874
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• GCD of 949, 686, 15, 802
• GCD of 622, 335, 48, 905
• GCD of 461, 332, 35, 929

1. What is the GCD of 323, 480, 29, 709?

GCD of 323, 480, 29, 709 is 1

2. Where do I get the detailed procedure to find GCD of 323, 480, 29, 709?

You can find a detailed procedure to find GCD of 323, 480, 29, 709 on our page.

3. How to find GCD of 323, 480, 29, 709 on a calculator?

You can find the GCD of 323, 480, 29, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.