GCD of 130, 626, 86, 565 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 130, 626, 86, 565 i.e. 1 largest integer that divides all the numbers equally.

GCD of 130, 626, 86, 565 is 1

GCD(130, 626, 86, 565) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 130, 626, 86, 565 is 1

GCD(130, 626, 86, 565) = 1

GCD of 130,626,86,565 Calculator

GCDof 130,626,86,565 is 1

Given Input numbers are 130, 626, 86, 565

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 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 130, 626, 86, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 626, 86, 565 is 1.

Therefore, GCD of numbers 130, 626, 86, 565 is 1

Finding GCD of 130, 626, 86, 565 using Prime Factorization

Given Input Data is 130, 626, 86, 565

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 626 is 2 x 313

Prime Factorization of 86 is 2 x 43

Prime Factorization of 565 is 5 x 113

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 130, 626, 86, 565 using LCM Formula

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, 626) = 40690

GCD(130, 626) = ( 130 x 626 ) / 40690

GCD(130, 626) = 81380 / 40690

GCD(130, 626) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 86

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

LCM(2, 86) = 86

GCD(2, 86) = ( 2 x 86 ) / 86

GCD(2, 86) = 172 / 86

GCD(2, 86) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 565

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

LCM(2, 565) = 1130

GCD(2, 565) = ( 2 x 565 ) / 1130

GCD(2, 565) = 1130 / 1130

GCD(2, 565) = 1

GCD of 130, 626, 86, 565 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 130, 626, 86, 565

1. What is the GCD of 130, 626, 86, 565?

GCD of 130, 626, 86, 565 is 1


2. Where do I get the detailed procedure to find GCD of 130, 626, 86, 565?

You can find a detailed procedure to find GCD of 130, 626, 86, 565 on our page.


3. How to find GCD of 130, 626, 86, 565 on a calculator?

You can find the GCD of 130, 626, 86, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.