GCD of 172, 882, 924 Calculator

Given Input numbers are 172, 882, 924

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

Divisors of 172

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

1, 2, 4, 43, 86, 172

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 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 172, 882, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 882, 924 is 2.

Therefore, GCD of numbers 172, 882, 924 is 2

Given Input Data is 172, 882, 924

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

Prime Factorization of 172 is 2 x 2 x 43

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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(172, 882) = 75852

GCD(172, 882) = ( 172 x 882 ) / 75852

GCD(172, 882) = 151704 / 75852

GCD(172, 882) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 924

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

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

GCD(2, 924) = 1848 / 924

GCD(2, 924) = 2

GCD of 172, 882, 924 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 943, 550, 497
• GCD of 917, 111, 256
• GCD of 269, 531, 512
• GCD of 950, 898, 985
• GCD of 937, 398, 498

1. What is the GCD of 172, 882, 924?

GCD of 172, 882, 924 is 2

2. Where do I get the detailed procedure to find GCD of 172, 882, 924?

You can find a detailed procedure to find GCD of 172, 882, 924 on our page.

3. How to find GCD of 172, 882, 924 on a calculator?

You can find the GCD of 172, 882, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.