GCD of 234, 513, 34, 754 Calculator

Given Input numbers are 234, 513, 34, 754

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

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 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 234, 513, 34, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 513, 34, 754 is 1.

Therefore, GCD of numbers 234, 513, 34, 754 is 1

Given Input Data is 234, 513, 34, 754

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

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 34 is 2 x 17

Prime Factorization of 754 is 2 x 13 x 29

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(234, 513) = 13338

GCD(234, 513) = ( 234 x 513 ) / 13338

GCD(234, 513) = 120042 / 13338

GCD(234, 513) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 34

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

LCM(9, 34) = 306

GCD(9, 34) = ( 9 x 34 ) / 306

GCD(9, 34) = 306 / 306

GCD(9, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 234, 513, 34, 754 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 893, 11, 640
• GCD of 607, 503, 54, 440
• GCD of 186, 407, 12, 349
• GCD of 723, 470, 31, 317
• GCD of 449, 761, 61, 405

1. What is the GCD of 234, 513, 34, 754?

GCD of 234, 513, 34, 754 is 1

2. Where do I get the detailed procedure to find GCD of 234, 513, 34, 754?

You can find a detailed procedure to find GCD of 234, 513, 34, 754 on our page.

3. How to find GCD of 234, 513, 34, 754 on a calculator?

You can find the GCD of 234, 513, 34, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.