GCD of 561, 966, 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 561, 966, 343 i.e. 1 largest integer that divides all the numbers equally.

GCD of 561, 966, 343 is 1

GCD(561, 966, 343) = 1

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

GCD of

GCD of numbers 561, 966, 343 is 1

GCD(561, 966, 343) = 1

GCD of 561,966,343 Calculator

GCDof 561,966,343 is 1

Given Input numbers are 561, 966, 343

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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 561, 966, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 966, 343 is 1.

Therefore, GCD of numbers 561, 966, 343 is 1

Finding GCD of 561, 966, 343 using Prime Factorization

Given Input Data is 561, 966, 343

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 966 is 2 x 3 x 7 x 23

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 561, 966, 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(561, 966) = 180642

GCD(561, 966) = ( 561 x 966 ) / 180642

GCD(561, 966) = 541926 / 180642

GCD(561, 966) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 343

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

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

GCD(3, 343) = 1029 / 1029

GCD(3, 343) = 1

GCD of 561, 966, 343 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 561, 966, 343

1. What is the GCD of 561, 966, 343?

GCD of 561, 966, 343 is 1

2. Where do I get the detailed procedure to find GCD of 561, 966, 343?

You can find a detailed procedure to find GCD of 561, 966, 343 on our page.

3. How to find GCD of 561, 966, 343 on a calculator?

You can find the GCD of 561, 966, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.