GCD of 343, 125, 706 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, 125, 706 i.e. 1 largest integer that divides all the numbers equally.

GCD of 343, 125, 706 is 1

GCD(343, 125, 706) = 1

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

GCD of

GCD of numbers 343, 125, 706 is 1

GCD(343, 125, 706) = 1

GCD of 343,125,706 Calculator

GCDof 343,125,706 is 1

Given Input numbers are 343, 125, 706

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 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 343, 125, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 125, 706 is 1.

Therefore, GCD of numbers 343, 125, 706 is 1

Finding GCD of 343, 125, 706 using Prime Factorization

Given Input Data is 343, 125, 706

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 125 is 5 x 5 x 5

Prime Factorization of 706 is 2 x 353

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

Finding GCD of 343, 125, 706 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, 125) = 42875

GCD(343, 125) = ( 343 x 125 ) / 42875

GCD(343, 125) = 42875 / 42875

GCD(343, 125) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 343, 125, 706 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 343, 125, 706

1. What is the GCD of 343, 125, 706?

GCD of 343, 125, 706 is 1


2. Where do I get the detailed procedure to find GCD of 343, 125, 706?

You can find a detailed procedure to find GCD of 343, 125, 706 on our page.


3. How to find GCD of 343, 125, 706 on a calculator?

You can find the GCD of 343, 125, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.