GCD of 28, 312, 322, 773 Calculator

Given Input numbers are 28, 312, 322, 773

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Greatest Common Divisior

We found the divisors of 28, 312, 322, 773 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 312, 322, 773 is 1.

Therefore, GCD of numbers 28, 312, 322, 773 is 1

Given Input Data is 28, 312, 322, 773

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 773 is 773

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(28, 312) = 2184

GCD(28, 312) = ( 28 x 312 ) / 2184

GCD(28, 312) = 8736 / 2184

GCD(28, 312) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 322

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

LCM(4, 322) = 644

GCD(4, 322) = ( 4 x 322 ) / 644

GCD(4, 322) = 1288 / 644

GCD(4, 322) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 773

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

LCM(2, 773) = 1546

GCD(2, 773) = ( 2 x 773 ) / 1546

GCD(2, 773) = 1546 / 1546

GCD(2, 773) = 1

GCD of 28, 312, 322, 773 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 618, 534, 175
• GCD of 10, 728, 856, 747
• GCD of 83, 734, 452, 597
• GCD of 30, 310, 476, 407
• GCD of 25, 960, 968, 568

1. What is the GCD of 28, 312, 322, 773?

GCD of 28, 312, 322, 773 is 1

2. Where do I get the detailed procedure to find GCD of 28, 312, 322, 773?

You can find a detailed procedure to find GCD of 28, 312, 322, 773 on our page.

3. How to find GCD of 28, 312, 322, 773 on a calculator?

You can find the GCD of 28, 312, 322, 773 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.