GCD of 13, 134, 984, 345 Calculator

Given Input numbers are 13, 134, 984, 345

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

Divisors of 13

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

1, 13

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 13, 134, 984, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 134, 984, 345 is 1.

Therefore, GCD of numbers 13, 134, 984, 345 is 1

Given Input Data is 13, 134, 984, 345

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

Prime Factorization of 13 is 13

Prime Factorization of 134 is 2 x 67

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 345 is 3 x 5 x 23

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(13, 134) = 1742

GCD(13, 134) = ( 13 x 134 ) / 1742

GCD(13, 134) = 1742 / 1742

GCD(13, 134) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 13, 134, 984, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 829, 200, 843
• GCD of 43, 192, 222, 523
• GCD of 64, 863, 558, 909
• GCD of 46, 616, 663, 992
• GCD of 60, 591, 236, 666

1. What is the GCD of 13, 134, 984, 345?

GCD of 13, 134, 984, 345 is 1

2. Where do I get the detailed procedure to find GCD of 13, 134, 984, 345?

You can find a detailed procedure to find GCD of 13, 134, 984, 345 on our page.

3. How to find GCD of 13, 134, 984, 345 on a calculator?

You can find the GCD of 13, 134, 984, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.