GCD of 480, 959, 83, 587 Calculator

Given Input numbers are 480, 959, 83, 587

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 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Greatest Common Divisior

We found the divisors of 480, 959, 83, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 959, 83, 587 is 1.

Therefore, GCD of numbers 480, 959, 83, 587 is 1

Given Input Data is 480, 959, 83, 587

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 959 is 7 x 137

Prime Factorization of 83 is 83

Prime Factorization of 587 is 587

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, 959) = 460320

GCD(480, 959) = ( 480 x 959 ) / 460320

GCD(480, 959) = 460320 / 460320

GCD(480, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 587

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

LCM(1, 587) = 587

GCD(1, 587) = ( 1 x 587 ) / 587

GCD(1, 587) = 587 / 587

GCD(1, 587) = 1

GCD of 480, 959, 83, 587 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 778, 81, 236
• GCD of 834, 266, 17, 228
• GCD of 366, 502, 11, 833
• GCD of 403, 895, 87, 775
• GCD of 425, 638, 47, 289

1. What is the GCD of 480, 959, 83, 587?

GCD of 480, 959, 83, 587 is 1

2. Where do I get the detailed procedure to find GCD of 480, 959, 83, 587?

You can find a detailed procedure to find GCD of 480, 959, 83, 587 on our page.

3. How to find GCD of 480, 959, 83, 587 on a calculator?

You can find the GCD of 480, 959, 83, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.