GCD of 14, 961, 284, 896 Calculator

Given Input numbers are 14, 961, 284, 896

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

Divisors of 14

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

1, 2, 7, 14

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

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

Greatest Common Divisior

We found the divisors of 14, 961, 284, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 961, 284, 896 is 1.

Therefore, GCD of numbers 14, 961, 284, 896 is 1

Given Input Data is 14, 961, 284, 896

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 961 is 31 x 31

Prime Factorization of 284 is 2 x 2 x 71

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

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(14, 961) = 13454

GCD(14, 961) = ( 14 x 961 ) / 13454

GCD(14, 961) = 13454 / 13454

GCD(14, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

GCD of 14, 961, 284, 896 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 130, 922, 202
• GCD of 30, 238, 267, 343
• GCD of 71, 875, 393, 637
• GCD of 38, 502, 979, 649
• GCD of 56, 803, 516, 214

1. What is the GCD of 14, 961, 284, 896?

GCD of 14, 961, 284, 896 is 1

2. Where do I get the detailed procedure to find GCD of 14, 961, 284, 896?

You can find a detailed procedure to find GCD of 14, 961, 284, 896 on our page.

3. How to find GCD of 14, 961, 284, 896 on a calculator?

You can find the GCD of 14, 961, 284, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.