GCD of 824, 932, 914 Calculator

Given Input numbers are 824, 932, 914

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

Divisors of 824

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

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

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 914

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

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 824, 932, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 932, 914 is 2.

Therefore, GCD of numbers 824, 932, 914 is 2

Given Input Data is 824, 932, 914

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

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

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 914 is 2 x 457

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(824, 932) = 191992

GCD(824, 932) = ( 824 x 932 ) / 191992

GCD(824, 932) = 767968 / 191992

GCD(824, 932) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 914

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

LCM(4, 914) = 1828

GCD(4, 914) = ( 4 x 914 ) / 1828

GCD(4, 914) = 3656 / 1828

GCD(4, 914) = 2

GCD of 824, 932, 914 is 2

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1. What is the GCD of 824, 932, 914?

GCD of 824, 932, 914 is 2

2. Where do I get the detailed procedure to find GCD of 824, 932, 914?

You can find a detailed procedure to find GCD of 824, 932, 914 on our page.

3. How to find GCD of 824, 932, 914 on a calculator?

You can find the GCD of 824, 932, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.