GCD of 402, 166, 233, 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 402, 166, 233, 343 i.e. 1 largest integer that divides all the numbers equally.

GCD of 402, 166, 233, 343 is 1

GCD(402, 166, 233, 343) = 1

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

GCD of

GCD of numbers 402, 166, 233, 343 is 1

GCD(402, 166, 233, 343) = 1

GCD of 402,166,233,343 Calculator

GCDof 402,166,233,343 is 1

Given Input numbers are 402, 166, 233, 343

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

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 402, 166, 233, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 166, 233, 343 is 1.

Therefore, GCD of numbers 402, 166, 233, 343 is 1

Finding GCD of 402, 166, 233, 343 using Prime Factorization

Given Input Data is 402, 166, 233, 343

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 166 is 2 x 83

Prime Factorization of 233 is 233

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 402, 166, 233, 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(402, 166) = 33366

GCD(402, 166) = ( 402 x 166 ) / 33366

GCD(402, 166) = 66732 / 33366

GCD(402, 166) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 233

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

LCM(2, 233) = 466

GCD(2, 233) = ( 2 x 233 ) / 466

GCD(2, 233) = 466 / 466

GCD(2, 233) = 1


Step3:

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 402, 166, 233, 343 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 402, 166, 233, 343

1. What is the GCD of 402, 166, 233, 343?

GCD of 402, 166, 233, 343 is 1


2. Where do I get the detailed procedure to find GCD of 402, 166, 233, 343?

You can find a detailed procedure to find GCD of 402, 166, 233, 343 on our page.


3. How to find GCD of 402, 166, 233, 343 on a calculator?

You can find the GCD of 402, 166, 233, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.