GCD of 254, 802, 84, 789 Calculator

Given Input numbers are 254, 802, 84, 789

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 254, 802, 84, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 802, 84, 789 is 1.

Therefore, GCD of numbers 254, 802, 84, 789 is 1

Given Input Data is 254, 802, 84, 789

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 802 is 2 x 401

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 789 is 3 x 263

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(254, 802) = 101854

GCD(254, 802) = ( 254 x 802 ) / 101854

GCD(254, 802) = 203708 / 101854

GCD(254, 802) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 789

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

LCM(2, 789) = 1578

GCD(2, 789) = ( 2 x 789 ) / 1578

GCD(2, 789) = 1578 / 1578

GCD(2, 789) = 1

GCD of 254, 802, 84, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 705, 45, 554
• GCD of 913, 840, 48, 843
• GCD of 535, 393, 42, 252
• GCD of 297, 668, 33, 953
• GCD of 589, 354, 55, 189

1. What is the GCD of 254, 802, 84, 789?

GCD of 254, 802, 84, 789 is 1

2. Where do I get the detailed procedure to find GCD of 254, 802, 84, 789?

You can find a detailed procedure to find GCD of 254, 802, 84, 789 on our page.

3. How to find GCD of 254, 802, 84, 789 on a calculator?

You can find the GCD of 254, 802, 84, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.