GCD of 157, 199, 343 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 157, 199, 343 i.e. 1 largest integer that divides all the numbers equally.

GCD of 157, 199, 343 is 1

GCD(157, 199, 343) = 1

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

GCD of

GCD of numbers 157, 199, 343 is 1

GCD(157, 199, 343) = 1

GCD of 157,199,343 Calculator

GCDof 157,199,343 is 1

Given Input numbers are 157, 199, 343

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

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 343

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

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 157, 199, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 199, 343 is 1.

Therefore, GCD of numbers 157, 199, 343 is 1

Finding GCD of 157, 199, 343 using Prime Factorization

Given Input Data is 157, 199, 343

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

Prime Factorization of 157 is 157

Prime Factorization of 199 is 199

Prime Factorization of 343 is 7 x 7 x 7

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

Finding GCD of 157, 199, 343 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(157, 199) = 31243

GCD(157, 199) = ( 157 x 199 ) / 31243

GCD(157, 199) = 31243 / 31243

GCD(157, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 157, 199, 343 is 1

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FAQs on GCD of numbers 157, 199, 343

1. What is the GCD of 157, 199, 343?

GCD of 157, 199, 343 is 1

2. Where do I get the detailed procedure to find GCD of 157, 199, 343?

You can find a detailed procedure to find GCD of 157, 199, 343 on our page.

3. How to find GCD of 157, 199, 343 on a calculator?

You can find the GCD of 157, 199, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.