GCD of 109, 403, 14, 882 Calculator

Given Input numbers are 109, 403, 14, 882

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 109, 403, 14, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 403, 14, 882 is 1.

Therefore, GCD of numbers 109, 403, 14, 882 is 1

Given Input Data is 109, 403, 14, 882

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

Prime Factorization of 109 is 109

Prime Factorization of 403 is 13 x 31

Prime Factorization of 14 is 2 x 7

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

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(109, 403) = 43927

GCD(109, 403) = ( 109 x 403 ) / 43927

GCD(109, 403) = 43927 / 43927

GCD(109, 403) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 882

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

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

GCD(1, 882) = 882 / 882

GCD(1, 882) = 1

GCD of 109, 403, 14, 882 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 875, 837, 45, 377
• GCD of 152, 390, 65, 783
• GCD of 615, 357, 62, 147
• GCD of 112, 674, 99, 204
• GCD of 522, 434, 19, 787

1. What is the GCD of 109, 403, 14, 882?

GCD of 109, 403, 14, 882 is 1

2. Where do I get the detailed procedure to find GCD of 109, 403, 14, 882?

You can find a detailed procedure to find GCD of 109, 403, 14, 882 on our page.

3. How to find GCD of 109, 403, 14, 882 on a calculator?

You can find the GCD of 109, 403, 14, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.