GCD of 436, 912, 407, 656 Calculator

Given Input numbers are 436, 912, 407, 656

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

Divisors of 436

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

1, 2, 4, 109, 218, 436

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 436, 912, 407, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 912, 407, 656 is 1.

Therefore, GCD of numbers 436, 912, 407, 656 is 1

Given Input Data is 436, 912, 407, 656

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

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 407 is 11 x 37

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

The above numbers do not have any common prime factor. So GCD is 1

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(436, 912) = 99408

GCD(436, 912) = ( 436 x 912 ) / 99408

GCD(436, 912) = 397632 / 99408

GCD(436, 912) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 407

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

LCM(4, 407) = 1628

GCD(4, 407) = ( 4 x 407 ) / 1628

GCD(4, 407) = 1628 / 1628

GCD(4, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 436, 912, 407, 656 is 1

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1. What is the GCD of 436, 912, 407, 656?

GCD of 436, 912, 407, 656 is 1

2. Where do I get the detailed procedure to find GCD of 436, 912, 407, 656?

You can find a detailed procedure to find GCD of 436, 912, 407, 656 on our page.

3. How to find GCD of 436, 912, 407, 656 on a calculator?

You can find the GCD of 436, 912, 407, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.