GCD of 187, 294, 130, 524 Calculator

Given Input numbers are 187, 294, 130, 524

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

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 187, 294, 130, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 294, 130, 524 is 1.

Therefore, GCD of numbers 187, 294, 130, 524 is 1

Given Input Data is 187, 294, 130, 524

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 524 is 2 x 2 x 131

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(187, 294) = 54978

GCD(187, 294) = ( 187 x 294 ) / 54978

GCD(187, 294) = 54978 / 54978

GCD(187, 294) = 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 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

GCD of 187, 294, 130, 524 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 407, 347, 197
• GCD of 422, 543, 498, 375
• GCD of 855, 510, 872, 516
• GCD of 215, 432, 627, 145
• GCD of 947, 169, 757, 107

1. What is the GCD of 187, 294, 130, 524?

GCD of 187, 294, 130, 524 is 1

2. Where do I get the detailed procedure to find GCD of 187, 294, 130, 524?

You can find a detailed procedure to find GCD of 187, 294, 130, 524 on our page.

3. How to find GCD of 187, 294, 130, 524 on a calculator?

You can find the GCD of 187, 294, 130, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.