GCD of 996, 267, 47, 217 Calculator

Given Input numbers are 996, 267, 47, 217

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 217

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

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 996, 267, 47, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 267, 47, 217 is 1.

Therefore, GCD of numbers 996, 267, 47, 217 is 1

Given Input Data is 996, 267, 47, 217

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 267 is 3 x 89

Prime Factorization of 47 is 47

Prime Factorization of 217 is 7 x 31

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(996, 267) = 88644

GCD(996, 267) = ( 996 x 267 ) / 88644

GCD(996, 267) = 265932 / 88644

GCD(996, 267) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 47

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

LCM(3, 47) = 141

GCD(3, 47) = ( 3 x 47 ) / 141

GCD(3, 47) = 141 / 141

GCD(3, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 996, 267, 47, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 176, 29, 602
• GCD of 180, 423, 31, 933
• GCD of 737, 351, 14, 910
• GCD of 601, 850, 99, 982
• GCD of 448, 961, 32, 200

1. What is the GCD of 996, 267, 47, 217?

GCD of 996, 267, 47, 217 is 1

2. Where do I get the detailed procedure to find GCD of 996, 267, 47, 217?

You can find a detailed procedure to find GCD of 996, 267, 47, 217 on our page.

3. How to find GCD of 996, 267, 47, 217 on a calculator?

You can find the GCD of 996, 267, 47, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.