GCD of 301, 831, 90, 480 Calculator

Given Input numbers are 301, 831, 90, 480

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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 301, 831, 90, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 831, 90, 480 is 1.

Therefore, GCD of numbers 301, 831, 90, 480 is 1

Given Input Data is 301, 831, 90, 480

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 831 is 3 x 277

Prime Factorization of 90 is 2 x 3 x 3 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(301, 831) = 250131

GCD(301, 831) = ( 301 x 831 ) / 250131

GCD(301, 831) = 250131 / 250131

GCD(301, 831) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 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 301, 831, 90, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 172, 97, 144
• GCD of 288, 131, 20, 489
• GCD of 693, 825, 58, 594
• GCD of 514, 665, 67, 977
• GCD of 886, 140, 22, 641

1. What is the GCD of 301, 831, 90, 480?

GCD of 301, 831, 90, 480 is 1

2. Where do I get the detailed procedure to find GCD of 301, 831, 90, 480?

You can find a detailed procedure to find GCD of 301, 831, 90, 480 on our page.

3. How to find GCD of 301, 831, 90, 480 on a calculator?

You can find the GCD of 301, 831, 90, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.