GCD of 307, 343, 379 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 307, 343, 379 i.e. 1 largest integer that divides all the numbers equally.

GCD of 307, 343, 379 is 1

GCD(307, 343, 379) = 1

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

GCD of

GCD of numbers 307, 343, 379 is 1

GCD(307, 343, 379) = 1

GCD of 307,343,379 Calculator

GCDof 307,343,379 is 1

Given Input numbers are 307, 343, 379

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 343

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

1, 7, 49, 343

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Greatest Common Divisior

We found the divisors of 307, 343, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 343, 379 is 1.

Therefore, GCD of numbers 307, 343, 379 is 1

Finding GCD of 307, 343, 379 using Prime Factorization

Given Input Data is 307, 343, 379

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

Prime Factorization of 307 is 307

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 379 is 379

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

Finding GCD of 307, 343, 379 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(307, 343) = 105301

GCD(307, 343) = ( 307 x 343 ) / 105301

GCD(307, 343) = 105301 / 105301

GCD(307, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 379

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

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

GCD(1, 379) = 379 / 379

GCD(1, 379) = 1

GCD of 307, 343, 379 is 1

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FAQs on GCD of numbers 307, 343, 379

1. What is the GCD of 307, 343, 379?

GCD of 307, 343, 379 is 1

2. Where do I get the detailed procedure to find GCD of 307, 343, 379?

You can find a detailed procedure to find GCD of 307, 343, 379 on our page.

3. How to find GCD of 307, 343, 379 on a calculator?

You can find the GCD of 307, 343, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.