GCD of 472, 874, 824 Calculator

Given Input numbers are 472, 874, 824

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 472, 874, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 874, 824 is 2.

Therefore, GCD of numbers 472, 874, 824 is 2

Given Input Data is 472, 874, 824

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(472, 874) = 206264

GCD(472, 874) = ( 472 x 874 ) / 206264

GCD(472, 874) = 412528 / 206264

GCD(472, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 824

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

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

GCD(2, 824) = 1648 / 824

GCD(2, 824) = 2

GCD of 472, 874, 824 is 2

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1. What is the GCD of 472, 874, 824?

GCD of 472, 874, 824 is 2

2. Where do I get the detailed procedure to find GCD of 472, 874, 824?

You can find a detailed procedure to find GCD of 472, 874, 824 on our page.

3. How to find GCD of 472, 874, 824 on a calculator?

You can find the GCD of 472, 874, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.