GCD of 345, 130, 69, 944 Calculator

Given Input numbers are 345, 130, 69, 944

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

Divisors of 345

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

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

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 345, 130, 69, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 130, 69, 944 is 1.

Therefore, GCD of numbers 345, 130, 69, 944 is 1

Given Input Data is 345, 130, 69, 944

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 69 is 3 x 23

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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(345, 130) = 8970

GCD(345, 130) = ( 345 x 130 ) / 8970

GCD(345, 130) = 44850 / 8970

GCD(345, 130) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 69

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

LCM(5, 69) = 345

GCD(5, 69) = ( 5 x 69 ) / 345

GCD(5, 69) = 345 / 345

GCD(5, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 345, 130, 69, 944 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 629, 523, 18, 617
• GCD of 287, 302, 82, 548
• GCD of 389, 446, 99, 165
• GCD of 486, 381, 35, 403
• GCD of 560, 265, 59, 282

1. What is the GCD of 345, 130, 69, 944?

GCD of 345, 130, 69, 944 is 1

2. Where do I get the detailed procedure to find GCD of 345, 130, 69, 944?

You can find a detailed procedure to find GCD of 345, 130, 69, 944 on our page.

3. How to find GCD of 345, 130, 69, 944 on a calculator?

You can find the GCD of 345, 130, 69, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.