GCD of 614, 481, 896, 961 Calculator

Given Input numbers are 614, 481, 896, 961

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 481

List of positive integer divisors of 481 that divides 481 without a remainder.

1, 13, 37, 481

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 961

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

1, 31, 961

Greatest Common Divisior

We found the divisors of 614, 481, 896, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 481, 896, 961 is 1.

Therefore, GCD of numbers 614, 481, 896, 961 is 1

Given Input Data is 614, 481, 896, 961

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 481 is 13 x 37

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

Prime Factorization of 961 is 31 x 31

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(614, 481) = 295334

GCD(614, 481) = ( 614 x 481 ) / 295334

GCD(614, 481) = 295334 / 295334

GCD(614, 481) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 614, 481, 896, 961 is 1

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1. What is the GCD of 614, 481, 896, 961?

GCD of 614, 481, 896, 961 is 1

2. Where do I get the detailed procedure to find GCD of 614, 481, 896, 961?

You can find a detailed procedure to find GCD of 614, 481, 896, 961 on our page.

3. How to find GCD of 614, 481, 896, 961 on a calculator?

You can find the GCD of 614, 481, 896, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.