GCD of 832, 192, 768, 818 Calculator

Given Input numbers are 832, 192, 768, 818

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 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Greatest Common Divisior

We found the divisors of 832, 192, 768, 818 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 192, 768, 818 is 2.

Therefore, GCD of numbers 832, 192, 768, 818 is 2

Given Input Data is 832, 192, 768, 818

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 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 818 is 2 x 409

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, 192) = 2496

GCD(832, 192) = ( 832 x 192 ) / 2496

GCD(832, 192) = 159744 / 2496

GCD(832, 192) = 64

Step2:

Here we consider the GCD from the above i.e. 64 as first number and the next as 768

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

LCM(64, 768) = 768

GCD(64, 768) = ( 64 x 768 ) / 768

GCD(64, 768) = 49152 / 768

GCD(64, 768) = 64

Step3:

Here we consider the GCD from the above i.e. 64 as first number and the next as 818

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

LCM(64, 818) = 26176

GCD(64, 818) = ( 64 x 818 ) / 26176

GCD(64, 818) = 52352 / 26176

GCD(64, 818) = 2

GCD of 832, 192, 768, 818 is 2

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1. What is the GCD of 832, 192, 768, 818?

GCD of 832, 192, 768, 818 is 2

2. Where do I get the detailed procedure to find GCD of 832, 192, 768, 818?

You can find a detailed procedure to find GCD of 832, 192, 768, 818 on our page.

3. How to find GCD of 832, 192, 768, 818 on a calculator?

You can find the GCD of 832, 192, 768, 818 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.