GCD of 34, 488, 408, 432 Calculator

Given Input numbers are 34, 488, 408, 432

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Greatest Common Divisior

We found the divisors of 34, 488, 408, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 488, 408, 432 is 2.

Therefore, GCD of numbers 34, 488, 408, 432 is 2

Given Input Data is 34, 488, 408, 432

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 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(34, 488) = 8296

GCD(34, 488) = ( 34 x 488 ) / 8296

GCD(34, 488) = 16592 / 8296

GCD(34, 488) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 408

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

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 432

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

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

GCD(2, 432) = 864 / 432

GCD(2, 432) = 2

GCD of 34, 488, 408, 432 is 2

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• GCD of 85, 201, 697, 662
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• GCD of 37, 146, 391, 882

1. What is the GCD of 34, 488, 408, 432?

GCD of 34, 488, 408, 432 is 2

2. Where do I get the detailed procedure to find GCD of 34, 488, 408, 432?

You can find a detailed procedure to find GCD of 34, 488, 408, 432 on our page.

3. How to find GCD of 34, 488, 408, 432 on a calculator?

You can find the GCD of 34, 488, 408, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.