GCD of 12, 984, 217, 263 Calculator

Given Input numbers are 12, 984, 217, 263

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Greatest Common Divisior

We found the divisors of 12, 984, 217, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 984, 217, 263 is 1.

Therefore, GCD of numbers 12, 984, 217, 263 is 1

Given Input Data is 12, 984, 217, 263

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 217 is 7 x 31

Prime Factorization of 263 is 263

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(12, 984) = 984

GCD(12, 984) = ( 12 x 984 ) / 984

GCD(12, 984) = 11808 / 984

GCD(12, 984) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 217

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

LCM(12, 217) = 2604

GCD(12, 217) = ( 12 x 217 ) / 2604

GCD(12, 217) = 2604 / 2604

GCD(12, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 263

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

LCM(1, 263) = 263

GCD(1, 263) = ( 1 x 263 ) / 263

GCD(1, 263) = 263 / 263

GCD(1, 263) = 1

GCD of 12, 984, 217, 263 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 353, 270, 676
• GCD of 85, 131, 283, 948
• GCD of 41, 233, 859, 337
• GCD of 63, 481, 890, 600
• GCD of 26, 240, 196, 491

1. What is the GCD of 12, 984, 217, 263?

GCD of 12, 984, 217, 263 is 1

2. Where do I get the detailed procedure to find GCD of 12, 984, 217, 263?

You can find a detailed procedure to find GCD of 12, 984, 217, 263 on our page.

3. How to find GCD of 12, 984, 217, 263 on a calculator?

You can find the GCD of 12, 984, 217, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.