GCD of 914, 284, 172 Calculator

Given Input numbers are 914, 284, 172

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 914, 284, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 284, 172 is 2.

Therefore, GCD of numbers 914, 284, 172 is 2

Given Input Data is 914, 284, 172

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 172 is 2 x 2 x 43

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(914, 284) = 129788

GCD(914, 284) = ( 914 x 284 ) / 129788

GCD(914, 284) = 259576 / 129788

GCD(914, 284) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 172

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

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

GCD(2, 172) = 344 / 172

GCD(2, 172) = 2

GCD of 914, 284, 172 is 2

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1. What is the GCD of 914, 284, 172?

GCD of 914, 284, 172 is 2

2. Where do I get the detailed procedure to find GCD of 914, 284, 172?

You can find a detailed procedure to find GCD of 914, 284, 172 on our page.

3. How to find GCD of 914, 284, 172 on a calculator?

You can find the GCD of 914, 284, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.