GCD of 643, 402, 164 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 643, 402, 164 i.e. 1 largest integer that divides all the numbers equally.

GCD of 643, 402, 164 is 1

GCD(643, 402, 164) = 1

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

GCD of

GCD of numbers 643, 402, 164 is 1

GCD(643, 402, 164) = 1

GCD of 643,402,164 Calculator

GCDof 643,402,164 is 1

Given Input numbers are 643, 402, 164

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

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 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 643, 402, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 402, 164 is 1.

Therefore, GCD of numbers 643, 402, 164 is 1

Finding GCD of 643, 402, 164 using Prime Factorization

Given Input Data is 643, 402, 164

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

Prime Factorization of 643 is 643

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 164 is 2 x 2 x 41

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

Finding GCD of 643, 402, 164 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(643, 402) = 258486

GCD(643, 402) = ( 643 x 402 ) / 258486

GCD(643, 402) = 258486 / 258486

GCD(643, 402) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 643, 402, 164 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 643, 402, 164

1. What is the GCD of 643, 402, 164?

GCD of 643, 402, 164 is 1


2. Where do I get the detailed procedure to find GCD of 643, 402, 164?

You can find a detailed procedure to find GCD of 643, 402, 164 on our page.


3. How to find GCD of 643, 402, 164 on a calculator?

You can find the GCD of 643, 402, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.