GCD of 164, 946, 50 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 164, 946, 50 i.e. 2 largest integer that divides all the numbers equally.

GCD of 164, 946, 50 is 2

GCD(164, 946, 50) = 2

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

GCD of

GCD of numbers 164, 946, 50 is 2

GCD(164, 946, 50) = 2

GCD of 164,946,50 Calculator

GCDof 164,946,50 is 2

Given Input numbers are 164, 946, 50

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

Divisors of 164

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

1, 2, 4, 41, 82, 164

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Greatest Common Divisior

We found the divisors of 164, 946, 50 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 946, 50 is 2.

Therefore, GCD of numbers 164, 946, 50 is 2

Finding GCD of 164, 946, 50 using Prime Factorization

Given Input Data is 164, 946, 50

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 50 is 2 x 5 x 5

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 164, 946, 50 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(164, 946) = 77572

GCD(164, 946) = ( 164 x 946 ) / 77572

GCD(164, 946) = 155144 / 77572

GCD(164, 946) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

GCD of 164, 946, 50 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 164, 946, 50

1. What is the GCD of 164, 946, 50?

GCD of 164, 946, 50 is 2


2. Where do I get the detailed procedure to find GCD of 164, 946, 50?

You can find a detailed procedure to find GCD of 164, 946, 50 on our page.


3. How to find GCD of 164, 946, 50 on a calculator?

You can find the GCD of 164, 946, 50 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.