GCD of 130, 944, 89, 170 Calculator

Given Input numbers are 130, 944, 89, 170

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 944

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

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 130, 944, 89, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 944, 89, 170 is 1.

Therefore, GCD of numbers 130, 944, 89, 170 is 1

Given Input Data is 130, 944, 89, 170

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 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 89 is 89

Prime Factorization of 170 is 2 x 5 x 17

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, 944) = 61360

GCD(130, 944) = ( 130 x 944 ) / 61360

GCD(130, 944) = 122720 / 61360

GCD(130, 944) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

GCD of 130, 944, 89, 170 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 866, 14, 459
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• GCD of 124, 132, 39, 670

1. What is the GCD of 130, 944, 89, 170?

GCD of 130, 944, 89, 170 is 1

2. Where do I get the detailed procedure to find GCD of 130, 944, 89, 170?

You can find a detailed procedure to find GCD of 130, 944, 89, 170 on our page.

3. How to find GCD of 130, 944, 89, 170 on a calculator?

You can find the GCD of 130, 944, 89, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.