GCD of 969, 342, 46 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 969, 342, 46 i.e. 1 largest integer that divides all the numbers equally.

GCD of 969, 342, 46 is 1

GCD(969, 342, 46) = 1

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

GCD of

GCD of numbers 969, 342, 46 is 1

GCD(969, 342, 46) = 1

GCD of 969,342,46 Calculator

GCDof 969,342,46 is 1

Given Input numbers are 969, 342, 46

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

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Greatest Common Divisior

We found the divisors of 969, 342, 46 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 342, 46 is 1.

Therefore, GCD of numbers 969, 342, 46 is 1

Finding GCD of 969, 342, 46 using Prime Factorization

Given Input Data is 969, 342, 46

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 46 is 2 x 23

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

Finding GCD of 969, 342, 46 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(969, 342) = 5814

GCD(969, 342) = ( 969 x 342 ) / 5814

GCD(969, 342) = 331398 / 5814

GCD(969, 342) = 57


Step2:

Here we consider the GCD from the above i.e. 57 as first number and the next as 46

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

LCM(57, 46) = 2622

GCD(57, 46) = ( 57 x 46 ) / 2622

GCD(57, 46) = 2622 / 2622

GCD(57, 46) = 1

GCD of 969, 342, 46 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 969, 342, 46

1. What is the GCD of 969, 342, 46?

GCD of 969, 342, 46 is 1


2. Where do I get the detailed procedure to find GCD of 969, 342, 46?

You can find a detailed procedure to find GCD of 969, 342, 46 on our page.


3. How to find GCD of 969, 342, 46 on a calculator?

You can find the GCD of 969, 342, 46 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.