GCD of 777, 294, 28, 923 Calculator

Given Input numbers are 777, 294, 28, 923

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

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 28

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

1, 2, 4, 7, 14, 28

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 777, 294, 28, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 294, 28, 923 is 1.

Therefore, GCD of numbers 777, 294, 28, 923 is 1

Given Input Data is 777, 294, 28, 923

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

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 923 is 13 x 71

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(777, 294) = 10878

GCD(777, 294) = ( 777 x 294 ) / 10878

GCD(777, 294) = 228438 / 10878

GCD(777, 294) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 28

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

LCM(21, 28) = 84

GCD(21, 28) = ( 21 x 28 ) / 84

GCD(21, 28) = 588 / 84

GCD(21, 28) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 923

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

LCM(7, 923) = 6461

GCD(7, 923) = ( 7 x 923 ) / 6461

GCD(7, 923) = 6461 / 6461

GCD(7, 923) = 1

GCD of 777, 294, 28, 923 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 621, 45, 962
• GCD of 512, 850, 88, 403
• GCD of 506, 301, 72, 222
• GCD of 134, 857, 98, 751
• GCD of 643, 237, 77, 791

1. What is the GCD of 777, 294, 28, 923?

GCD of 777, 294, 28, 923 is 1

2. Where do I get the detailed procedure to find GCD of 777, 294, 28, 923?

You can find a detailed procedure to find GCD of 777, 294, 28, 923 on our page.

3. How to find GCD of 777, 294, 28, 923 on a calculator?

You can find the GCD of 777, 294, 28, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.