GCD of 824, 172, 26, 430 Calculator

Given Input numbers are 824, 172, 26, 430

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

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 824, 172, 26, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 172, 26, 430 is 2.

Therefore, GCD of numbers 824, 172, 26, 430 is 2

Given Input Data is 824, 172, 26, 430

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 26 is 2 x 13

Prime Factorization of 430 is 2 x 5 x 43

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(824, 172) = 35432

GCD(824, 172) = ( 824 x 172 ) / 35432

GCD(824, 172) = 141728 / 35432

GCD(824, 172) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 26

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

LCM(4, 26) = 52

GCD(4, 26) = ( 4 x 26 ) / 52

GCD(4, 26) = 104 / 52

GCD(4, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 430

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

LCM(2, 430) = 430

GCD(2, 430) = ( 2 x 430 ) / 430

GCD(2, 430) = 860 / 430

GCD(2, 430) = 2

GCD of 824, 172, 26, 430 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 424, 99, 708
• GCD of 517, 829, 28, 266
• GCD of 494, 258, 19, 649
• GCD of 318, 824, 52, 646
• GCD of 410, 572, 92, 898

1. What is the GCD of 824, 172, 26, 430?

GCD of 824, 172, 26, 430 is 2

2. Where do I get the detailed procedure to find GCD of 824, 172, 26, 430?

You can find a detailed procedure to find GCD of 824, 172, 26, 430 on our page.

3. How to find GCD of 824, 172, 26, 430 on a calculator?

You can find the GCD of 824, 172, 26, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.