GCD of 832, 434, 68, 234 Calculator

Given Input numbers are 832, 434, 68, 234

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

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

Greatest Common Divisior

We found the divisors of 832, 434, 68, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 434, 68, 234 is 2.

Therefore, GCD of numbers 832, 434, 68, 234 is 2

Given Input Data is 832, 434, 68, 234

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 68 is 2 x 2 x 17

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(832, 434) = 180544

GCD(832, 434) = ( 832 x 434 ) / 180544

GCD(832, 434) = 361088 / 180544

GCD(832, 434) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 234

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

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

GCD(2, 234) = 468 / 234

GCD(2, 234) = 2

GCD of 832, 434, 68, 234 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 407, 293, 46, 149
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• GCD of 780, 760, 33, 714
• GCD of 308, 148, 86, 757
• GCD of 433, 461, 10, 893

1. What is the GCD of 832, 434, 68, 234?

GCD of 832, 434, 68, 234 is 2

2. Where do I get the detailed procedure to find GCD of 832, 434, 68, 234?

You can find a detailed procedure to find GCD of 832, 434, 68, 234 on our page.

3. How to find GCD of 832, 434, 68, 234 on a calculator?

You can find the GCD of 832, 434, 68, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.