GCD of 19, 859, 714, 480 Calculator

Given Input numbers are 19, 859, 714, 480

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

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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 19, 859, 714, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 859, 714, 480 is 1.

Therefore, GCD of numbers 19, 859, 714, 480 is 1

Given Input Data is 19, 859, 714, 480

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

Prime Factorization of 19 is 19

Prime Factorization of 859 is 859

Prime Factorization of 714 is 2 x 3 x 7 x 17

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(19, 859) = 16321

GCD(19, 859) = ( 19 x 859 ) / 16321

GCD(19, 859) = 16321 / 16321

GCD(19, 859) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 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 19, 859, 714, 480 is 1

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• GCD of 39, 383, 306, 531
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1. What is the GCD of 19, 859, 714, 480?

GCD of 19, 859, 714, 480 is 1

2. Where do I get the detailed procedure to find GCD of 19, 859, 714, 480?

You can find a detailed procedure to find GCD of 19, 859, 714, 480 on our page.

3. How to find GCD of 19, 859, 714, 480 on a calculator?

You can find the GCD of 19, 859, 714, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.