GCD of 96, 832, 803, 234 Calculator

Given Input numbers are 96, 832, 803, 234

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

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 96, 832, 803, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 832, 803, 234 is 1.

Therefore, GCD of numbers 96, 832, 803, 234 is 1

Given Input Data is 96, 832, 803, 234

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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

Prime Factorization of 803 is 11 x 73

Prime Factorization of 234 is 2 x 3 x 3 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(96, 832) = 2496

GCD(96, 832) = ( 96 x 832 ) / 2496

GCD(96, 832) = 79872 / 2496

GCD(96, 832) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 803

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

LCM(32, 803) = 25696

GCD(32, 803) = ( 32 x 803 ) / 25696

GCD(32, 803) = 25696 / 25696

GCD(32, 803) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

GCD of 96, 832, 803, 234 is 1

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1. What is the GCD of 96, 832, 803, 234?

GCD of 96, 832, 803, 234 is 1

2. Where do I get the detailed procedure to find GCD of 96, 832, 803, 234?

You can find a detailed procedure to find GCD of 96, 832, 803, 234 on our page.

3. How to find GCD of 96, 832, 803, 234 on a calculator?

You can find the GCD of 96, 832, 803, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.