GCD of 130, 415, 95, 543 Calculator

Given Input numbers are 130, 415, 95, 543

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 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Greatest Common Divisior

We found the divisors of 130, 415, 95, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 415, 95, 543 is 1.

Therefore, GCD of numbers 130, 415, 95, 543 is 1

Given Input Data is 130, 415, 95, 543

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 415 is 5 x 83

Prime Factorization of 95 is 5 x 19

Prime Factorization of 543 is 3 x 181

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, 415) = 10790

GCD(130, 415) = ( 130 x 415 ) / 10790

GCD(130, 415) = 53950 / 10790

GCD(130, 415) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 95

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

LCM(5, 95) = 95

GCD(5, 95) = ( 5 x 95 ) / 95

GCD(5, 95) = 475 / 95

GCD(5, 95) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 543

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

LCM(5, 543) = 2715

GCD(5, 543) = ( 5 x 543 ) / 2715

GCD(5, 543) = 2715 / 2715

GCD(5, 543) = 1

GCD of 130, 415, 95, 543 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 916, 87, 104
• GCD of 925, 185, 40, 452
• GCD of 932, 864, 66, 732
• GCD of 782, 299, 64, 149
• GCD of 199, 992, 70, 180

1. What is the GCD of 130, 415, 95, 543?

GCD of 130, 415, 95, 543 is 1

2. Where do I get the detailed procedure to find GCD of 130, 415, 95, 543?

You can find a detailed procedure to find GCD of 130, 415, 95, 543 on our page.

3. How to find GCD of 130, 415, 95, 543 on a calculator?

You can find the GCD of 130, 415, 95, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.