GCD of 107, 578, 81, 822 Calculator

Given Input numbers are 107, 578, 81, 822

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 822

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

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

Greatest Common Divisior

We found the divisors of 107, 578, 81, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 578, 81, 822 is 1.

Therefore, GCD of numbers 107, 578, 81, 822 is 1

Given Input Data is 107, 578, 81, 822

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

Prime Factorization of 107 is 107

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 822 is 2 x 3 x 137

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(107, 578) = 61846

GCD(107, 578) = ( 107 x 578 ) / 61846

GCD(107, 578) = 61846 / 61846

GCD(107, 578) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 81

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

LCM(1, 81) = 81

GCD(1, 81) = ( 1 x 81 ) / 81

GCD(1, 81) = 81 / 81

GCD(1, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 107, 578, 81, 822 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 445, 78, 559
• GCD of 962, 613, 47, 861
• GCD of 708, 427, 35, 334
• GCD of 256, 873, 42, 908
• GCD of 648, 690, 15, 869

1. What is the GCD of 107, 578, 81, 822?

GCD of 107, 578, 81, 822 is 1

2. Where do I get the detailed procedure to find GCD of 107, 578, 81, 822?

You can find a detailed procedure to find GCD of 107, 578, 81, 822 on our page.

3. How to find GCD of 107, 578, 81, 822 on a calculator?

You can find the GCD of 107, 578, 81, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.