GCD of 114, 828, 474 Calculator

Given Input numbers are 114, 828, 474

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

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 114, 828, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 828, 474 is 6.

Therefore, GCD of numbers 114, 828, 474 is 6

Given Input Data is 114, 828, 474

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

Prime Factorization of 114 is 2 x 3 x 19

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

Prime Factorization of 474 is 2 x 3 x 79

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(114, 828) = 15732

GCD(114, 828) = ( 114 x 828 ) / 15732

GCD(114, 828) = 94392 / 15732

GCD(114, 828) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 474

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

LCM(6, 474) = 474

GCD(6, 474) = ( 6 x 474 ) / 474

GCD(6, 474) = 2844 / 474

GCD(6, 474) = 6

GCD of 114, 828, 474 is 6

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1. What is the GCD of 114, 828, 474?

GCD of 114, 828, 474 is 6

2. Where do I get the detailed procedure to find GCD of 114, 828, 474?

You can find a detailed procedure to find GCD of 114, 828, 474 on our page.

3. How to find GCD of 114, 828, 474 on a calculator?

You can find the GCD of 114, 828, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.