GCD of 826, 934, 808, 172 Calculator

Given Input numbers are 826, 934, 808, 172

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

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 172

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

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 826, 934, 808, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 934, 808, 172 is 2.

Therefore, GCD of numbers 826, 934, 808, 172 is 2

Given Input Data is 826, 934, 808, 172

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

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 934 is 2 x 467

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 172 is 2 x 2 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(826, 934) = 385742

GCD(826, 934) = ( 826 x 934 ) / 385742

GCD(826, 934) = 771484 / 385742

GCD(826, 934) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 808

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

LCM(2, 808) = 808

GCD(2, 808) = ( 2 x 808 ) / 808

GCD(2, 808) = 1616 / 808

GCD(2, 808) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 172

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

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

GCD(2, 172) = 344 / 172

GCD(2, 172) = 2

GCD of 826, 934, 808, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 956, 120, 389, 760
• GCD of 834, 649, 242, 548
• GCD of 939, 913, 698, 315
• GCD of 555, 259, 795, 703
• GCD of 320, 881, 364, 558

1. What is the GCD of 826, 934, 808, 172?

GCD of 826, 934, 808, 172 is 2

2. Where do I get the detailed procedure to find GCD of 826, 934, 808, 172?

You can find a detailed procedure to find GCD of 826, 934, 808, 172 on our page.

3. How to find GCD of 826, 934, 808, 172 on a calculator?

You can find the GCD of 826, 934, 808, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.