GCD of 414, 882, 13, 916 Calculator

Given Input numbers are 414, 882, 13, 916

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 414, 882, 13, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 882, 13, 916 is 1.

Therefore, GCD of numbers 414, 882, 13, 916 is 1

Given Input Data is 414, 882, 13, 916

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

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

Prime Factorization of 13 is 13

Prime Factorization of 916 is 2 x 2 x 229

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(414, 882) = 20286

GCD(414, 882) = ( 414 x 882 ) / 20286

GCD(414, 882) = 365148 / 20286

GCD(414, 882) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 13

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

LCM(18, 13) = 234

GCD(18, 13) = ( 18 x 13 ) / 234

GCD(18, 13) = 234 / 234

GCD(18, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 414, 882, 13, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 874, 74, 128
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• GCD of 696, 530, 80, 367

1. What is the GCD of 414, 882, 13, 916?

GCD of 414, 882, 13, 916 is 1

2. Where do I get the detailed procedure to find GCD of 414, 882, 13, 916?

You can find a detailed procedure to find GCD of 414, 882, 13, 916 on our page.

3. How to find GCD of 414, 882, 13, 916 on a calculator?

You can find the GCD of 414, 882, 13, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.