GCD of 480, 239, 31, 125 Calculator

Given Input numbers are 480, 239, 31, 125

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 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 480, 239, 31, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 239, 31, 125 is 1.

Therefore, GCD of numbers 480, 239, 31, 125 is 1

Given Input Data is 480, 239, 31, 125

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 239 is 239

Prime Factorization of 31 is 31

Prime Factorization of 125 is 5 x 5 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(480, 239) = 114720

GCD(480, 239) = ( 480 x 239 ) / 114720

GCD(480, 239) = 114720 / 114720

GCD(480, 239) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

GCD of 480, 239, 31, 125 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 596, 17, 892
• GCD of 943, 277, 71, 476
• GCD of 572, 737, 30, 845
• GCD of 467, 956, 23, 873
• GCD of 390, 503, 55, 666

1. What is the GCD of 480, 239, 31, 125?

GCD of 480, 239, 31, 125 is 1

2. Where do I get the detailed procedure to find GCD of 480, 239, 31, 125?

You can find a detailed procedure to find GCD of 480, 239, 31, 125 on our page.

3. How to find GCD of 480, 239, 31, 125 on a calculator?

You can find the GCD of 480, 239, 31, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.