GCD of 872, 431, 83, 430 Calculator

Given Input numbers are 872, 431, 83, 430

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Greatest Common Divisior

We found the divisors of 872, 431, 83, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 431, 83, 430 is 1.

Therefore, GCD of numbers 872, 431, 83, 430 is 1

Given Input Data is 872, 431, 83, 430

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 431 is 431

Prime Factorization of 83 is 83

Prime Factorization of 430 is 2 x 5 x 43

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(872, 431) = 375832

GCD(872, 431) = ( 872 x 431 ) / 375832

GCD(872, 431) = 375832 / 375832

GCD(872, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 430

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

LCM(1, 430) = 430

GCD(1, 430) = ( 1 x 430 ) / 430

GCD(1, 430) = 430 / 430

GCD(1, 430) = 1

GCD of 872, 431, 83, 430 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 365, 81, 912
• GCD of 449, 249, 19, 113
• GCD of 227, 582, 99, 549
• GCD of 503, 206, 69, 390
• GCD of 532, 368, 54, 551

1. What is the GCD of 872, 431, 83, 430?

GCD of 872, 431, 83, 430 is 1

2. Where do I get the detailed procedure to find GCD of 872, 431, 83, 430?

You can find a detailed procedure to find GCD of 872, 431, 83, 430 on our page.

3. How to find GCD of 872, 431, 83, 430 on a calculator?

You can find the GCD of 872, 431, 83, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.