GCD of 254, 166, 225, 351 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 254, 166, 225, 351 i.e. 1 largest integer that divides all the numbers equally.

GCD of 254, 166, 225, 351 is 1

GCD(254, 166, 225, 351) = 1

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

GCD of

GCD of numbers 254, 166, 225, 351 is 1

GCD(254, 166, 225, 351) = 1

GCD of 254,166,225,351 Calculator

GCDof 254,166,225,351 is 1

Given Input numbers are 254, 166, 225, 351

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 166

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

1, 2, 83, 166

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 254, 166, 225, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 166, 225, 351 is 1.

Therefore, GCD of numbers 254, 166, 225, 351 is 1

Finding GCD of 254, 166, 225, 351 using Prime Factorization

Given Input Data is 254, 166, 225, 351

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 166 is 2 x 83

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 351 is 3 x 3 x 3 x 13

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

Finding GCD of 254, 166, 225, 351 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(254, 166) = 21082

GCD(254, 166) = ( 254 x 166 ) / 21082

GCD(254, 166) = 42164 / 21082

GCD(254, 166) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 225

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

LCM(2, 225) = 450

GCD(2, 225) = ( 2 x 225 ) / 450

GCD(2, 225) = 450 / 450

GCD(2, 225) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 254, 166, 225, 351 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 254, 166, 225, 351

1. What is the GCD of 254, 166, 225, 351?

GCD of 254, 166, 225, 351 is 1


2. Where do I get the detailed procedure to find GCD of 254, 166, 225, 351?

You can find a detailed procedure to find GCD of 254, 166, 225, 351 on our page.


3. How to find GCD of 254, 166, 225, 351 on a calculator?

You can find the GCD of 254, 166, 225, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.