GCD of 406, 458, 696, 288 Calculator

Given Input numbers are 406, 458, 696, 288

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 406, 458, 696, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 458, 696, 288 is 2.

Therefore, GCD of numbers 406, 458, 696, 288 is 2

Given Input Data is 406, 458, 696, 288

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 458 is 2 x 229

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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(406, 458) = 92974

GCD(406, 458) = ( 406 x 458 ) / 92974

GCD(406, 458) = 185948 / 92974

GCD(406, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 696

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

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

GCD(2, 696) = 1392 / 696

GCD(2, 696) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 288

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

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

GCD(2, 288) = 576 / 288

GCD(2, 288) = 2

GCD of 406, 458, 696, 288 is 2

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1. What is the GCD of 406, 458, 696, 288?

GCD of 406, 458, 696, 288 is 2

2. Where do I get the detailed procedure to find GCD of 406, 458, 696, 288?

You can find a detailed procedure to find GCD of 406, 458, 696, 288 on our page.

3. How to find GCD of 406, 458, 696, 288 on a calculator?

You can find the GCD of 406, 458, 696, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.