GCD of 413, 962, 15, 108 Calculator

Given Input numbers are 413, 962, 15, 108

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 413, 962, 15, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 962, 15, 108 is 1.

Therefore, GCD of numbers 413, 962, 15, 108 is 1

Given Input Data is 413, 962, 15, 108

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 15 is 3 x 5

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(413, 962) = 397306

GCD(413, 962) = ( 413 x 962 ) / 397306

GCD(413, 962) = 397306 / 397306

GCD(413, 962) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 413, 962, 15, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 719, 38, 698
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• GCD of 551, 995, 37, 753

1. What is the GCD of 413, 962, 15, 108?

GCD of 413, 962, 15, 108 is 1

2. Where do I get the detailed procedure to find GCD of 413, 962, 15, 108?

You can find a detailed procedure to find GCD of 413, 962, 15, 108 on our page.

3. How to find GCD of 413, 962, 15, 108 on a calculator?

You can find the GCD of 413, 962, 15, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.