GCD of 480, 228, 280, 983 Calculator

Given Input numbers are 480, 228, 280, 983

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 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Greatest Common Divisior

We found the divisors of 480, 228, 280, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 228, 280, 983 is 1.

Therefore, GCD of numbers 480, 228, 280, 983 is 1

Given Input Data is 480, 228, 280, 983

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 228 is 2 x 2 x 3 x 19

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 983 is 983

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, 228) = 9120

GCD(480, 228) = ( 480 x 228 ) / 9120

GCD(480, 228) = 109440 / 9120

GCD(480, 228) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 280

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

LCM(12, 280) = 840

GCD(12, 280) = ( 12 x 280 ) / 840

GCD(12, 280) = 3360 / 840

GCD(12, 280) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 983

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

LCM(4, 983) = 3932

GCD(4, 983) = ( 4 x 983 ) / 3932

GCD(4, 983) = 3932 / 3932

GCD(4, 983) = 1

GCD of 480, 228, 280, 983 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 157, 863, 538
• GCD of 652, 504, 671, 819
• GCD of 927, 636, 131, 900
• GCD of 549, 761, 239, 982
• GCD of 942, 183, 241, 542

1. What is the GCD of 480, 228, 280, 983?

GCD of 480, 228, 280, 983 is 1

2. Where do I get the detailed procedure to find GCD of 480, 228, 280, 983?

You can find a detailed procedure to find GCD of 480, 228, 280, 983 on our page.

3. How to find GCD of 480, 228, 280, 983 on a calculator?

You can find the GCD of 480, 228, 280, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.