GCD of 843, 783, 75, 422 Calculator

Given Input numbers are 843, 783, 75, 422

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

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 843, 783, 75, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 843, 783, 75, 422 is 1.

Therefore, GCD of numbers 843, 783, 75, 422 is 1

Given Input Data is 843, 783, 75, 422

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

Prime Factorization of 843 is 3 x 281

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 422 is 2 x 211

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(843, 783) = 220023

GCD(843, 783) = ( 843 x 783 ) / 220023

GCD(843, 783) = 660069 / 220023

GCD(843, 783) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 75

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

LCM(3, 75) = 75

GCD(3, 75) = ( 3 x 75 ) / 75

GCD(3, 75) = 225 / 75

GCD(3, 75) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 422

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

LCM(3, 422) = 1266

GCD(3, 422) = ( 3 x 422 ) / 1266

GCD(3, 422) = 1266 / 1266

GCD(3, 422) = 1

GCD of 843, 783, 75, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 455, 96, 885
• GCD of 566, 877, 80, 733
• GCD of 838, 782, 57, 238
• GCD of 115, 844, 52, 124
• GCD of 275, 149, 22, 267

1. What is the GCD of 843, 783, 75, 422?

GCD of 843, 783, 75, 422 is 1

2. Where do I get the detailed procedure to find GCD of 843, 783, 75, 422?

You can find a detailed procedure to find GCD of 843, 783, 75, 422 on our page.

3. How to find GCD of 843, 783, 75, 422 on a calculator?

You can find the GCD of 843, 783, 75, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.