GCD of 100, 822, 73, 894 Calculator

Given Input numbers are 100, 822, 73, 894

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 100, 822, 73, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 822, 73, 894 is 1.

Therefore, GCD of numbers 100, 822, 73, 894 is 1

Given Input Data is 100, 822, 73, 894

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 73 is 73

Prime Factorization of 894 is 2 x 3 x 149

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(100, 822) = 41100

GCD(100, 822) = ( 100 x 822 ) / 41100

GCD(100, 822) = 82200 / 41100

GCD(100, 822) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 73

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

LCM(2, 73) = 146

GCD(2, 73) = ( 2 x 73 ) / 146

GCD(2, 73) = 146 / 146

GCD(2, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

GCD of 100, 822, 73, 894 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 769, 47, 495
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1. What is the GCD of 100, 822, 73, 894?

GCD of 100, 822, 73, 894 is 1

2. Where do I get the detailed procedure to find GCD of 100, 822, 73, 894?

You can find a detailed procedure to find GCD of 100, 822, 73, 894 on our page.

3. How to find GCD of 100, 822, 73, 894 on a calculator?

You can find the GCD of 100, 822, 73, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.