GCD of 656, 896, 21, 436 Calculator

Given Input numbers are 656, 896, 21, 436

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

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 436

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

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 656, 896, 21, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 896, 21, 436 is 1.

Therefore, GCD of numbers 656, 896, 21, 436 is 1

Given Input Data is 656, 896, 21, 436

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

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 21 is 3 x 7

Prime Factorization of 436 is 2 x 2 x 109

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(656, 896) = 36736

GCD(656, 896) = ( 656 x 896 ) / 36736

GCD(656, 896) = 587776 / 36736

GCD(656, 896) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 21

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

LCM(16, 21) = 336

GCD(16, 21) = ( 16 x 21 ) / 336

GCD(16, 21) = 336 / 336

GCD(16, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 436

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

LCM(1, 436) = 436

GCD(1, 436) = ( 1 x 436 ) / 436

GCD(1, 436) = 436 / 436

GCD(1, 436) = 1

GCD of 656, 896, 21, 436 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 372, 87, 167
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• GCD of 836, 395, 89, 395
• GCD of 144, 622, 67, 515
• GCD of 505, 750, 34, 734

1. What is the GCD of 656, 896, 21, 436?

GCD of 656, 896, 21, 436 is 1

2. Where do I get the detailed procedure to find GCD of 656, 896, 21, 436?

You can find a detailed procedure to find GCD of 656, 896, 21, 436 on our page.

3. How to find GCD of 656, 896, 21, 436 on a calculator?

You can find the GCD of 656, 896, 21, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.