GCD of 480, 393, 871, 725 Calculator

Given Input numbers are 480, 393, 871, 725

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

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 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 480, 393, 871, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 393, 871, 725 is 1.

Therefore, GCD of numbers 480, 393, 871, 725 is 1

Given Input Data is 480, 393, 871, 725

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

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 871 is 13 x 67

Prime Factorization of 725 is 5 x 5 x 29

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(480, 393) = 62880

GCD(480, 393) = ( 480 x 393 ) / 62880

GCD(480, 393) = 188640 / 62880

GCD(480, 393) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 871

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

LCM(3, 871) = 2613

GCD(3, 871) = ( 3 x 871 ) / 2613

GCD(3, 871) = 2613 / 2613

GCD(3, 871) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 480, 393, 871, 725 is 1

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1. What is the GCD of 480, 393, 871, 725?

GCD of 480, 393, 871, 725 is 1

2. Where do I get the detailed procedure to find GCD of 480, 393, 871, 725?

You can find a detailed procedure to find GCD of 480, 393, 871, 725 on our page.

3. How to find GCD of 480, 393, 871, 725 on a calculator?

You can find the GCD of 480, 393, 871, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.