GCD of 71, 289, 130, 950 Calculator

Given Input numbers are 71, 289, 130, 950

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

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 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Greatest Common Divisior

We found the divisors of 71, 289, 130, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 289, 130, 950 is 1.

Therefore, GCD of numbers 71, 289, 130, 950 is 1

Given Input Data is 71, 289, 130, 950

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

Prime Factorization of 71 is 71

Prime Factorization of 289 is 17 x 17

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 950 is 2 x 5 x 5 x 19

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(71, 289) = 20519

GCD(71, 289) = ( 71 x 289 ) / 20519

GCD(71, 289) = 20519 / 20519

GCD(71, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 130

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

LCM(1, 130) = 130

GCD(1, 130) = ( 1 x 130 ) / 130

GCD(1, 130) = 130 / 130

GCD(1, 130) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 950

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

LCM(1, 950) = 950

GCD(1, 950) = ( 1 x 950 ) / 950

GCD(1, 950) = 950 / 950

GCD(1, 950) = 1

GCD of 71, 289, 130, 950 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 513, 589, 227
• GCD of 99, 649, 963, 393
• GCD of 17, 389, 142, 270
• GCD of 37, 506, 849, 123
• GCD of 76, 113, 861, 907

1. What is the GCD of 71, 289, 130, 950?

GCD of 71, 289, 130, 950 is 1

2. Where do I get the detailed procedure to find GCD of 71, 289, 130, 950?

You can find a detailed procedure to find GCD of 71, 289, 130, 950 on our page.

3. How to find GCD of 71, 289, 130, 950 on a calculator?

You can find the GCD of 71, 289, 130, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.