GCD of 768, 436, 408 Calculator

Given Input numbers are 768, 436, 408

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

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

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

Greatest Common Divisior

We found the divisors of 768, 436, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 436, 408 is 4.

Therefore, GCD of numbers 768, 436, 408 is 4

Given Input Data is 768, 436, 408

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 436 is 2 x 2 x 109

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(768, 436) = 83712

GCD(768, 436) = ( 768 x 436 ) / 83712

GCD(768, 436) = 334848 / 83712

GCD(768, 436) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 408

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

LCM(4, 408) = 408

GCD(4, 408) = ( 4 x 408 ) / 408

GCD(4, 408) = 1632 / 408

GCD(4, 408) = 4

GCD of 768, 436, 408 is 4

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1. What is the GCD of 768, 436, 408?

GCD of 768, 436, 408 is 4

2. Where do I get the detailed procedure to find GCD of 768, 436, 408?

You can find a detailed procedure to find GCD of 768, 436, 408 on our page.

3. How to find GCD of 768, 436, 408 on a calculator?

You can find the GCD of 768, 436, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.