GCD of 548, 317, 721, 822 Calculator

Given Input numbers are 548, 317, 721, 822

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

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 548, 317, 721, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 317, 721, 822 is 1.

Therefore, GCD of numbers 548, 317, 721, 822 is 1

Given Input Data is 548, 317, 721, 822

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 317 is 317

Prime Factorization of 721 is 7 x 103

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(548, 317) = 173716

GCD(548, 317) = ( 548 x 317 ) / 173716

GCD(548, 317) = 173716 / 173716

GCD(548, 317) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 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 548, 317, 721, 822 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 664, 288, 721
• GCD of 492, 757, 459, 605
• GCD of 177, 599, 886, 253
• GCD of 744, 357, 914, 534
• GCD of 220, 526, 964, 835

1. What is the GCD of 548, 317, 721, 822?

GCD of 548, 317, 721, 822 is 1

2. Where do I get the detailed procedure to find GCD of 548, 317, 721, 822?

You can find a detailed procedure to find GCD of 548, 317, 721, 822 on our page.

3. How to find GCD of 548, 317, 721, 822 on a calculator?

You can find the GCD of 548, 317, 721, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.