GCD of 343, 995, 142 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 343, 995, 142 i.e. 1 largest integer that divides all the numbers equally.

GCD of 343, 995, 142 is 1

GCD(343, 995, 142) = 1

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

GCD of

GCD of numbers 343, 995, 142 is 1

GCD(343, 995, 142) = 1

GCD of 343,995,142 Calculator

GCDof 343,995,142 is 1

Given Input numbers are 343, 995, 142

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

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 142

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

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 343, 995, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 995, 142 is 1.

Therefore, GCD of numbers 343, 995, 142 is 1

Finding GCD of 343, 995, 142 using Prime Factorization

Given Input Data is 343, 995, 142

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 995 is 5 x 199

Prime Factorization of 142 is 2 x 71

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

Finding GCD of 343, 995, 142 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(343, 995) = 341285

GCD(343, 995) = ( 343 x 995 ) / 341285

GCD(343, 995) = 341285 / 341285

GCD(343, 995) = 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

GCD of 343, 995, 142 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 343, 995, 142

1. What is the GCD of 343, 995, 142?

GCD of 343, 995, 142 is 1


2. Where do I get the detailed procedure to find GCD of 343, 995, 142?

You can find a detailed procedure to find GCD of 343, 995, 142 on our page.


3. How to find GCD of 343, 995, 142 on a calculator?

You can find the GCD of 343, 995, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.