GCD of 188, 896, 14, 821 Calculator

Given Input numbers are 188, 896, 14, 821

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

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

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 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 188, 896, 14, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 896, 14, 821 is 1.

Therefore, GCD of numbers 188, 896, 14, 821 is 1

Given Input Data is 188, 896, 14, 821

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

Prime Factorization of 188 is 2 x 2 x 47

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 821 is 821

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(188, 896) = 42112

GCD(188, 896) = ( 188 x 896 ) / 42112

GCD(188, 896) = 168448 / 42112

GCD(188, 896) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 14

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

LCM(4, 14) = 28

GCD(4, 14) = ( 4 x 14 ) / 28

GCD(4, 14) = 56 / 28

GCD(4, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 821

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

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

GCD(2, 821) = 1642 / 1642

GCD(2, 821) = 1

GCD of 188, 896, 14, 821 is 1

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• GCD of 847, 358, 89, 418
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1. What is the GCD of 188, 896, 14, 821?

GCD of 188, 896, 14, 821 is 1

2. Where do I get the detailed procedure to find GCD of 188, 896, 14, 821?

You can find a detailed procedure to find GCD of 188, 896, 14, 821 on our page.

3. How to find GCD of 188, 896, 14, 821 on a calculator?

You can find the GCD of 188, 896, 14, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.