GCD of 287, 302, 37, 130 Calculator

Given Input numbers are 287, 302, 37, 130

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

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 130

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

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

Greatest Common Divisior

We found the divisors of 287, 302, 37, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 287, 302, 37, 130 is 1.

Therefore, GCD of numbers 287, 302, 37, 130 is 1

Given Input Data is 287, 302, 37, 130

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

Prime Factorization of 287 is 7 x 41

Prime Factorization of 302 is 2 x 151

Prime Factorization of 37 is 37

Prime Factorization of 130 is 2 x 5 x 13

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(287, 302) = 86674

GCD(287, 302) = ( 287 x 302 ) / 86674

GCD(287, 302) = 86674 / 86674

GCD(287, 302) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

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

GCD of 287, 302, 37, 130 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 561, 31, 667
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1. What is the GCD of 287, 302, 37, 130?

GCD of 287, 302, 37, 130 is 1

2. Where do I get the detailed procedure to find GCD of 287, 302, 37, 130?

You can find a detailed procedure to find GCD of 287, 302, 37, 130 on our page.

3. How to find GCD of 287, 302, 37, 130 on a calculator?

You can find the GCD of 287, 302, 37, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.