GCD of 217, 273, 756, 129 Calculator

Given Input numbers are 217, 273, 756, 129

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

Divisors of 217

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

1, 7, 31, 217

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 217, 273, 756, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 273, 756, 129 is 1.

Therefore, GCD of numbers 217, 273, 756, 129 is 1

Given Input Data is 217, 273, 756, 129

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 129 is 3 x 43

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(217, 273) = 8463

GCD(217, 273) = ( 217 x 273 ) / 8463

GCD(217, 273) = 59241 / 8463

GCD(217, 273) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 756

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

LCM(7, 756) = 756

GCD(7, 756) = ( 7 x 756 ) / 756

GCD(7, 756) = 5292 / 756

GCD(7, 756) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 129

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

LCM(7, 129) = 903

GCD(7, 129) = ( 7 x 129 ) / 903

GCD(7, 129) = 903 / 903

GCD(7, 129) = 1

GCD of 217, 273, 756, 129 is 1

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1. What is the GCD of 217, 273, 756, 129?

GCD of 217, 273, 756, 129 is 1

2. Where do I get the detailed procedure to find GCD of 217, 273, 756, 129?

You can find a detailed procedure to find GCD of 217, 273, 756, 129 on our page.

3. How to find GCD of 217, 273, 756, 129 on a calculator?

You can find the GCD of 217, 273, 756, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.