GCD of 142, 492, 121, 878 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 142, 492, 121, 878 i.e. 1 largest integer that divides all the numbers equally.

GCD of 142, 492, 121, 878 is 1

GCD(142, 492, 121, 878) = 1

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

GCD of

GCD of numbers 142, 492, 121, 878 is 1

GCD(142, 492, 121, 878) = 1

GCD of 142,492,121,878 Calculator

GCDof 142,492,121,878 is 1

Given Input numbers are 142, 492, 121, 878

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

Divisors of 142

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

1, 2, 71, 142

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 142, 492, 121, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 492, 121, 878 is 1.

Therefore, GCD of numbers 142, 492, 121, 878 is 1

Finding GCD of 142, 492, 121, 878 using Prime Factorization

Given Input Data is 142, 492, 121, 878

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 121 is 11 x 11

Prime Factorization of 878 is 2 x 439

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

Finding GCD of 142, 492, 121, 878 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(142, 492) = 34932

GCD(142, 492) = ( 142 x 492 ) / 34932

GCD(142, 492) = 69864 / 34932

GCD(142, 492) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 121

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

LCM(2, 121) = 242

GCD(2, 121) = ( 2 x 121 ) / 242

GCD(2, 121) = 242 / 242

GCD(2, 121) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 878

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

LCM(1, 878) = 878

GCD(1, 878) = ( 1 x 878 ) / 878

GCD(1, 878) = 878 / 878

GCD(1, 878) = 1

GCD of 142, 492, 121, 878 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 142, 492, 121, 878

1. What is the GCD of 142, 492, 121, 878?

GCD of 142, 492, 121, 878 is 1


2. Where do I get the detailed procedure to find GCD of 142, 492, 121, 878?

You can find a detailed procedure to find GCD of 142, 492, 121, 878 on our page.


3. How to find GCD of 142, 492, 121, 878 on a calculator?

You can find the GCD of 142, 492, 121, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.