GCD of 882, 874, 898 Calculator

Given Input numbers are 882, 874, 898

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

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 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 882, 874, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 874, 898 is 2.

Therefore, GCD of numbers 882, 874, 898 is 2

Given Input Data is 882, 874, 898

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

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 898 is 2 x 449

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(882, 874) = 385434

GCD(882, 874) = ( 882 x 874 ) / 385434

GCD(882, 874) = 770868 / 385434

GCD(882, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 898

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

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

GCD(2, 898) = 1796 / 898

GCD(2, 898) = 2

GCD of 882, 874, 898 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 825, 312
• GCD of 438, 898, 593
• GCD of 658, 113, 391
• GCD of 144, 514, 800
• GCD of 688, 919, 339

1. What is the GCD of 882, 874, 898?

GCD of 882, 874, 898 is 2

2. Where do I get the detailed procedure to find GCD of 882, 874, 898?

You can find a detailed procedure to find GCD of 882, 874, 898 on our page.

3. How to find GCD of 882, 874, 898 on a calculator?

You can find the GCD of 882, 874, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.