GCD of 130, 817, 745, 945 Calculator

Given Input numbers are 130, 817, 745, 945

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

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 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 130, 817, 745, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 817, 745, 945 is 1.

Therefore, GCD of numbers 130, 817, 745, 945 is 1

Given Input Data is 130, 817, 745, 945

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

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 817 is 19 x 43

Prime Factorization of 745 is 5 x 149

Prime Factorization of 945 is 3 x 3 x 3 x 5 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(130, 817) = 106210

GCD(130, 817) = ( 130 x 817 ) / 106210

GCD(130, 817) = 106210 / 106210

GCD(130, 817) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 130, 817, 745, 945 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 282, 342, 249
• GCD of 162, 952, 218, 659
• GCD of 845, 258, 279, 866
• GCD of 610, 242, 628, 974
• GCD of 489, 594, 678, 423

1. What is the GCD of 130, 817, 745, 945?

GCD of 130, 817, 745, 945 is 1

2. Where do I get the detailed procedure to find GCD of 130, 817, 745, 945?

You can find a detailed procedure to find GCD of 130, 817, 745, 945 on our page.

3. How to find GCD of 130, 817, 745, 945 on a calculator?

You can find the GCD of 130, 817, 745, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.