GCD of 84, 789, 494, 429 Calculator

Given Input numbers are 84, 789, 494, 429

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

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Greatest Common Divisior

We found the divisors of 84, 789, 494, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 789, 494, 429 is 1.

Therefore, GCD of numbers 84, 789, 494, 429 is 1

Given Input Data is 84, 789, 494, 429

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

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 429 is 3 x 11 x 13

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(84, 789) = 22092

GCD(84, 789) = ( 84 x 789 ) / 22092

GCD(84, 789) = 66276 / 22092

GCD(84, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 494

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

LCM(3, 494) = 1482

GCD(3, 494) = ( 3 x 494 ) / 1482

GCD(3, 494) = 1482 / 1482

GCD(3, 494) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 429

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

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

GCD(1, 429) = 429 / 429

GCD(1, 429) = 1

GCD of 84, 789, 494, 429 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 971, 249, 300
• GCD of 70, 135, 802, 712
• GCD of 40, 478, 819, 481
• GCD of 15, 735, 515, 212
• GCD of 28, 214, 139, 187

1. What is the GCD of 84, 789, 494, 429?

GCD of 84, 789, 494, 429 is 1

2. Where do I get the detailed procedure to find GCD of 84, 789, 494, 429?

You can find a detailed procedure to find GCD of 84, 789, 494, 429 on our page.

3. How to find GCD of 84, 789, 494, 429 on a calculator?

You can find the GCD of 84, 789, 494, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.