GCD of 822, 783, 53, 307 Calculator

Given Input numbers are 822, 783, 53, 307

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 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 822, 783, 53, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 783, 53, 307 is 1.

Therefore, GCD of numbers 822, 783, 53, 307 is 1

Given Input Data is 822, 783, 53, 307

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 783 is 3 x 3 x 3 x 29

Prime Factorization of 53 is 53

Prime Factorization of 307 is 307

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, 783) = 214542

GCD(822, 783) = ( 822 x 783 ) / 214542

GCD(822, 783) = 643626 / 214542

GCD(822, 783) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 53

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

LCM(3, 53) = 159

GCD(3, 53) = ( 3 x 53 ) / 159

GCD(3, 53) = 159 / 159

GCD(3, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1

GCD of 822, 783, 53, 307 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 787, 84, 783
• GCD of 360, 890, 89, 362
• GCD of 398, 215, 70, 780
• GCD of 410, 168, 54, 425
• GCD of 266, 579, 96, 225

1. What is the GCD of 822, 783, 53, 307?

GCD of 822, 783, 53, 307 is 1

2. Where do I get the detailed procedure to find GCD of 822, 783, 53, 307?

You can find a detailed procedure to find GCD of 822, 783, 53, 307 on our page.

3. How to find GCD of 822, 783, 53, 307 on a calculator?

You can find the GCD of 822, 783, 53, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.