GCD of 874, 363, 142, 130 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 874, 363, 142, 130 i.e. 1 largest integer that divides all the numbers equally.

GCD of 874, 363, 142, 130 is 1

GCD(874, 363, 142, 130) = 1

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

GCD of

GCD of numbers 874, 363, 142, 130 is 1

GCD(874, 363, 142, 130) = 1

GCD of 874,363,142,130 Calculator

GCDof 874,363,142,130 is 1

Given Input numbers are 874, 363, 142, 130

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 142

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

1, 2, 71, 142

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Greatest Common Divisior

We found the divisors of 874, 363, 142, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 363, 142, 130 is 1.

Therefore, GCD of numbers 874, 363, 142, 130 is 1

Finding GCD of 874, 363, 142, 130 using Prime Factorization

Given Input Data is 874, 363, 142, 130

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 142 is 2 x 71

Prime Factorization of 130 is 2 x 5 x 13

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

Finding GCD of 874, 363, 142, 130 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(874, 363) = 317262

GCD(874, 363) = ( 874 x 363 ) / 317262

GCD(874, 363) = 317262 / 317262

GCD(874, 363) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1


Step3:

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

GCD of 874, 363, 142, 130 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 874, 363, 142, 130

1. What is the GCD of 874, 363, 142, 130?

GCD of 874, 363, 142, 130 is 1


2. Where do I get the detailed procedure to find GCD of 874, 363, 142, 130?

You can find a detailed procedure to find GCD of 874, 363, 142, 130 on our page.


3. How to find GCD of 874, 363, 142, 130 on a calculator?

You can find the GCD of 874, 363, 142, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.