GCD of 831, 882, 24, 426 Calculator

Given Input numbers are 831, 882, 24, 426

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

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 831, 882, 24, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 882, 24, 426 is 3.

Therefore, GCD of numbers 831, 882, 24, 426 is 3

Given Input Data is 831, 882, 24, 426

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 426 is 2 x 3 x 71

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(831, 882) = 244314

GCD(831, 882) = ( 831 x 882 ) / 244314

GCD(831, 882) = 732942 / 244314

GCD(831, 882) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

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

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 426

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

LCM(3, 426) = 426

GCD(3, 426) = ( 3 x 426 ) / 426

GCD(3, 426) = 1278 / 426

GCD(3, 426) = 3

GCD of 831, 882, 24, 426 is 3

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1. What is the GCD of 831, 882, 24, 426?

GCD of 831, 882, 24, 426 is 3

2. Where do I get the detailed procedure to find GCD of 831, 882, 24, 426?

You can find a detailed procedure to find GCD of 831, 882, 24, 426 on our page.

3. How to find GCD of 831, 882, 24, 426 on a calculator?

You can find the GCD of 831, 882, 24, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.