GCD of 72, 834, 261, 217 Calculator

Given Input numbers are 72, 834, 261, 217

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

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 72, 834, 261, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 834, 261, 217 is 1.

Therefore, GCD of numbers 72, 834, 261, 217 is 1

Given Input Data is 72, 834, 261, 217

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 261 is 3 x 3 x 29

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(72, 834) = 10008

GCD(72, 834) = ( 72 x 834 ) / 10008

GCD(72, 834) = 60048 / 10008

GCD(72, 834) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 261

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

LCM(6, 261) = 522

GCD(6, 261) = ( 6 x 261 ) / 522

GCD(6, 261) = 1566 / 522

GCD(6, 261) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 217

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

LCM(3, 217) = 651

GCD(3, 217) = ( 3 x 217 ) / 651

GCD(3, 217) = 651 / 651

GCD(3, 217) = 1

GCD of 72, 834, 261, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 468, 643, 146
• GCD of 53, 706, 601, 304
• GCD of 63, 175, 906, 221
• GCD of 61, 275, 752, 271
• GCD of 99, 722, 720, 113

1. What is the GCD of 72, 834, 261, 217?

GCD of 72, 834, 261, 217 is 1

2. Where do I get the detailed procedure to find GCD of 72, 834, 261, 217?

You can find a detailed procedure to find GCD of 72, 834, 261, 217 on our page.

3. How to find GCD of 72, 834, 261, 217 on a calculator?

You can find the GCD of 72, 834, 261, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.