GCD of 814, 908, 18, 141 Calculator

Given Input numbers are 814, 908, 18, 141

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 814, 908, 18, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 908, 18, 141 is 1.

Therefore, GCD of numbers 814, 908, 18, 141 is 1

Given Input Data is 814, 908, 18, 141

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 141 is 3 x 47

The above numbers do not have any common prime factor. So GCD is 1

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(814, 908) = 369556

GCD(814, 908) = ( 814 x 908 ) / 369556

GCD(814, 908) = 739112 / 369556

GCD(814, 908) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 141

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

LCM(2, 141) = 282

GCD(2, 141) = ( 2 x 141 ) / 282

GCD(2, 141) = 282 / 282

GCD(2, 141) = 1

GCD of 814, 908, 18, 141 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 976, 73, 723
• GCD of 866, 323, 88, 748
• GCD of 262, 734, 37, 142
• GCD of 170, 867, 89, 384
• GCD of 300, 370, 12, 703

1. What is the GCD of 814, 908, 18, 141?

GCD of 814, 908, 18, 141 is 1

2. Where do I get the detailed procedure to find GCD of 814, 908, 18, 141?

You can find a detailed procedure to find GCD of 814, 908, 18, 141 on our page.

3. How to find GCD of 814, 908, 18, 141 on a calculator?

You can find the GCD of 814, 908, 18, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.