GCD of 130, 102, 355, 714 Calculator

Given Input numbers are 130, 102, 355, 714

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 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 130, 102, 355, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 102, 355, 714 is 1.

Therefore, GCD of numbers 130, 102, 355, 714 is 1

Given Input Data is 130, 102, 355, 714

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 102 is 2 x 3 x 17

Prime Factorization of 355 is 5 x 71

Prime Factorization of 714 is 2 x 3 x 7 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, 102) = 6630

GCD(130, 102) = ( 130 x 102 ) / 6630

GCD(130, 102) = 13260 / 6630

GCD(130, 102) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 355

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

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

GCD(2, 355) = 710 / 710

GCD(2, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 130, 102, 355, 714 is 1

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1. What is the GCD of 130, 102, 355, 714?

GCD of 130, 102, 355, 714 is 1

2. Where do I get the detailed procedure to find GCD of 130, 102, 355, 714?

You can find a detailed procedure to find GCD of 130, 102, 355, 714 on our page.

3. How to find GCD of 130, 102, 355, 714 on a calculator?

You can find the GCD of 130, 102, 355, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.