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GCD of 108, 174, 381, 273 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 108, 174, 381, 273 quickly. Get the easiest ways to solve the greatest common divisor of 108, 174, 381, 273 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 108, 174, 381, 273 with Factoring?

Given Input numbers are 108, 174, 381, 273

In the factoring method, we have to find the divisors of all numbers

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273


GCD of numbers is the greatest common divisor

So, the GCD (108, 174, 381, 273) = 3.

Find GCD of 108, 174, 381, 273 using Prime Factorization

Given numbers are 108, 174, 381, 273

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 174 are 2 x 3 x 29

Prime factors of 381 are 3 x 127

Prime factors of 273 are 3 x 7 x 13

The highest common occurrence is 31

Therefore, GCD of 108, 174, 381, 273 is 3.

Steps to Calculate GCD of 108, 174, 381, 273 using LCM Formula

Given numbers are 108, 174, 381, 273

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(108, 174) = 3132

GCD(108, 174) = ( 108 x 174 ) / 3132

= 108 / 174

= 108


Step2:

LCM(6, 381) = 762

GCD(6, 381) = ( 6 x 381 ) / 762

= 6 / 381

= 6


Step3:

LCM(3, 273) = 273

GCD(3, 273) = ( 3 x 273 ) / 273

= 3 / 273

= 3


So, Greatest Common Divisor of 108, 174, 381, 273 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 108, 174, 381, 273

Given numbers are 108, 174, 381, 273
The greatest common divisor of numbers 108, 174, 381, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 174, 381, 273 is 3.

FAQs on GCD of 108, 174, 381, 273 Calculator

1. What is the GCD of 108, 174, 381, 273?

GCD of given numbers 108, 174, 381, 273 is 3


2. How to calculate the greatest common divisor of 108, 174, 381, 273?

We can find the highest common divisor of 108, 174, 381, 273 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 108, 174, 381, 273 i.e 3.


3. How can I use the GCD of 108, 174, 381, 273Calculator?

Out the numbers 108, 174, 381, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.