GCD of 822, 983, 957, 682 Calculator

Given Input numbers are 822, 983, 957, 682

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

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 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 822, 983, 957, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 983, 957, 682 is 1.

Therefore, GCD of numbers 822, 983, 957, 682 is 1

Given Input Data is 822, 983, 957, 682

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 983 is 983

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 682 is 2 x 11 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(822, 983) = 808026

GCD(822, 983) = ( 822 x 983 ) / 808026

GCD(822, 983) = 808026 / 808026

GCD(822, 983) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 957

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

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

GCD(1, 957) = 957 / 957

GCD(1, 957) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 822, 983, 957, 682 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 390, 222, 567
• GCD of 105, 159, 475, 957
• GCD of 129, 668, 479, 255
• GCD of 293, 528, 665, 462
• GCD of 372, 640, 530, 379

1. What is the GCD of 822, 983, 957, 682?

GCD of 822, 983, 957, 682 is 1

2. Where do I get the detailed procedure to find GCD of 822, 983, 957, 682?

You can find a detailed procedure to find GCD of 822, 983, 957, 682 on our page.

3. How to find GCD of 822, 983, 957, 682 on a calculator?

You can find the GCD of 822, 983, 957, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.