GCD of 768, 114, 828 Calculator

Given Input numbers are 768, 114, 828

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

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 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 768, 114, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 114, 828 is 6.

Therefore, GCD of numbers 768, 114, 828 is 6

Given Input Data is 768, 114, 828

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

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 114 is 2 x 3 x 19

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(768, 114) = 14592

GCD(768, 114) = ( 768 x 114 ) / 14592

GCD(768, 114) = 87552 / 14592

GCD(768, 114) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 828

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

LCM(6, 828) = 828

GCD(6, 828) = ( 6 x 828 ) / 828

GCD(6, 828) = 4968 / 828

GCD(6, 828) = 6

GCD of 768, 114, 828 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 336, 427
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1. What is the GCD of 768, 114, 828?

GCD of 768, 114, 828 is 6

2. Where do I get the detailed procedure to find GCD of 768, 114, 828?

You can find a detailed procedure to find GCD of 768, 114, 828 on our page.

3. How to find GCD of 768, 114, 828 on a calculator?

You can find the GCD of 768, 114, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.