GCD of 273, 234, 634, 338 Calculator

Given Input numbers are 273, 234, 634, 338

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

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 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 273, 234, 634, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 273, 234, 634, 338 is 1.

Therefore, GCD of numbers 273, 234, 634, 338 is 1

Given Input Data is 273, 234, 634, 338

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

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 634 is 2 x 317

Prime Factorization of 338 is 2 x 13 x 13

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(273, 234) = 1638

GCD(273, 234) = ( 273 x 234 ) / 1638

GCD(273, 234) = 63882 / 1638

GCD(273, 234) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 634

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

LCM(39, 634) = 24726

GCD(39, 634) = ( 39 x 634 ) / 24726

GCD(39, 634) = 24726 / 24726

GCD(39, 634) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 273, 234, 634, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 616, 917, 516
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• GCD of 949, 246, 147, 734

1. What is the GCD of 273, 234, 634, 338?

GCD of 273, 234, 634, 338 is 1

2. Where do I get the detailed procedure to find GCD of 273, 234, 634, 338?

You can find a detailed procedure to find GCD of 273, 234, 634, 338 on our page.

3. How to find GCD of 273, 234, 634, 338 on a calculator?

You can find the GCD of 273, 234, 634, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.