GCD of 142, 119, 46, 994 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, 119, 46, 994 i.e. 1 largest integer that divides all the numbers equally.

GCD of 142, 119, 46, 994 is 1

GCD(142, 119, 46, 994) = 1

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

GCD of

GCD of numbers 142, 119, 46, 994 is 1

GCD(142, 119, 46, 994) = 1

GCD of 142,119,46,994 Calculator

GCDof 142,119,46,994 is 1

Given Input numbers are 142, 119, 46, 994

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 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 142, 119, 46, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 119, 46, 994 is 1.

Therefore, GCD of numbers 142, 119, 46, 994 is 1

Finding GCD of 142, 119, 46, 994 using Prime Factorization

Given Input Data is 142, 119, 46, 994

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 119 is 7 x 17

Prime Factorization of 46 is 2 x 23

Prime Factorization of 994 is 2 x 7 x 71

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

Finding GCD of 142, 119, 46, 994 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, 119) = 16898

GCD(142, 119) = ( 142 x 119 ) / 16898

GCD(142, 119) = 16898 / 16898

GCD(142, 119) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 142, 119, 46, 994 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 142, 119, 46, 994

1. What is the GCD of 142, 119, 46, 994?

GCD of 142, 119, 46, 994 is 1


2. Where do I get the detailed procedure to find GCD of 142, 119, 46, 994?

You can find a detailed procedure to find GCD of 142, 119, 46, 994 on our page.


3. How to find GCD of 142, 119, 46, 994 on a calculator?

You can find the GCD of 142, 119, 46, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.