GCD of 130, 142, 723, 781 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, 142, 723, 781 i.e. 1 largest integer that divides all the numbers equally.

GCD of 130, 142, 723, 781 is 1

GCD(130, 142, 723, 781) = 1

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

GCD of

GCD of numbers 130, 142, 723, 781 is 1

GCD(130, 142, 723, 781) = 1

GCD of 130,142,723,781 Calculator

GCDof 130,142,723,781 is 1

Given Input numbers are 130, 142, 723, 781

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 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Greatest Common Divisior

We found the divisors of 130, 142, 723, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 142, 723, 781 is 1.

Therefore, GCD of numbers 130, 142, 723, 781 is 1

Finding GCD of 130, 142, 723, 781 using Prime Factorization

Given Input Data is 130, 142, 723, 781

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 142 is 2 x 71

Prime Factorization of 723 is 3 x 241

Prime Factorization of 781 is 11 x 71

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

Finding GCD of 130, 142, 723, 781 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, 142) = 9230

GCD(130, 142) = ( 130 x 142 ) / 9230

GCD(130, 142) = 18460 / 9230

GCD(130, 142) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 723

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

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

GCD(2, 723) = 1446 / 1446

GCD(2, 723) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 781

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

LCM(1, 781) = 781

GCD(1, 781) = ( 1 x 781 ) / 781

GCD(1, 781) = 781 / 781

GCD(1, 781) = 1

GCD of 130, 142, 723, 781 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 130, 142, 723, 781

1. What is the GCD of 130, 142, 723, 781?

GCD of 130, 142, 723, 781 is 1


2. Where do I get the detailed procedure to find GCD of 130, 142, 723, 781?

You can find a detailed procedure to find GCD of 130, 142, 723, 781 on our page.


3. How to find GCD of 130, 142, 723, 781 on a calculator?

You can find the GCD of 130, 142, 723, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.