GCD of 18, 140, 718, 882 Calculator

Given Input numbers are 18, 140, 718, 882

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

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

Greatest Common Divisior

We found the divisors of 18, 140, 718, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 140, 718, 882 is 2.

Therefore, GCD of numbers 18, 140, 718, 882 is 2

Given Input Data is 18, 140, 718, 882

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 718 is 2 x 359

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

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(18, 140) = 1260

GCD(18, 140) = ( 18 x 140 ) / 1260

GCD(18, 140) = 2520 / 1260

GCD(18, 140) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 718

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

LCM(2, 718) = 718

GCD(2, 718) = ( 2 x 718 ) / 718

GCD(2, 718) = 1436 / 718

GCD(2, 718) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 882

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

LCM(2, 882) = 882

GCD(2, 882) = ( 2 x 882 ) / 882

GCD(2, 882) = 1764 / 882

GCD(2, 882) = 2

GCD of 18, 140, 718, 882 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 804, 641, 701
• GCD of 51, 871, 725, 636
• GCD of 65, 209, 558, 959
• GCD of 10, 620, 917, 924
• GCD of 70, 127, 690, 641

1. What is the GCD of 18, 140, 718, 882?

GCD of 18, 140, 718, 882 is 2

2. Where do I get the detailed procedure to find GCD of 18, 140, 718, 882?

You can find a detailed procedure to find GCD of 18, 140, 718, 882 on our page.

3. How to find GCD of 18, 140, 718, 882 on a calculator?

You can find the GCD of 18, 140, 718, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.