GCD of 99, 680, 493, 896 Calculator

Given Input numbers are 99, 680, 493, 896

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

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 99, 680, 493, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 680, 493, 896 is 1.

Therefore, GCD of numbers 99, 680, 493, 896 is 1

Given Input Data is 99, 680, 493, 896

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 493 is 17 x 29

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(99, 680) = 67320

GCD(99, 680) = ( 99 x 680 ) / 67320

GCD(99, 680) = 67320 / 67320

GCD(99, 680) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 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 99, 680, 493, 896 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 394, 864, 929
• GCD of 41, 714, 275, 829
• GCD of 73, 395, 695, 511
• GCD of 17, 784, 843, 617
• GCD of 40, 632, 945, 313

1. What is the GCD of 99, 680, 493, 896?

GCD of 99, 680, 493, 896 is 1

2. Where do I get the detailed procedure to find GCD of 99, 680, 493, 896?

You can find a detailed procedure to find GCD of 99, 680, 493, 896 on our page.

3. How to find GCD of 99, 680, 493, 896 on a calculator?

You can find the GCD of 99, 680, 493, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.