GCD of 349, 590, 20, 480 Calculator

Given Input numbers are 349, 590, 20, 480

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

Divisors of 349

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

1, 349

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

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

Greatest Common Divisior

We found the divisors of 349, 590, 20, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 590, 20, 480 is 1.

Therefore, GCD of numbers 349, 590, 20, 480 is 1

Given Input Data is 349, 590, 20, 480

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

Prime Factorization of 349 is 349

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 20 is 2 x 2 x 5

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

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(349, 590) = 205910

GCD(349, 590) = ( 349 x 590 ) / 205910

GCD(349, 590) = 205910 / 205910

GCD(349, 590) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 349, 590, 20, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 165, 39, 384
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• GCD of 973, 649, 98, 164
• GCD of 202, 127, 11, 277
• GCD of 107, 434, 83, 105

1. What is the GCD of 349, 590, 20, 480?

GCD of 349, 590, 20, 480 is 1

2. Where do I get the detailed procedure to find GCD of 349, 590, 20, 480?

You can find a detailed procedure to find GCD of 349, 590, 20, 480 on our page.

3. How to find GCD of 349, 590, 20, 480 on a calculator?

You can find the GCD of 349, 590, 20, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.