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GCD of 274, 440, 288 Calculator

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


Online GCD Calculator is useful to find the GCD of 274, 440, 288 quickly. Get the easiest ways to solve the greatest common divisor of 274, 440, 288 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 274, 440, 288 with Factoring?

Given Input numbers are 274, 440, 288

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288


GCD of numbers is the greatest common divisor

So, the GCD (274, 440, 288) = 2.

Find GCD of 274, 440, 288 using Prime Factorization

Given numbers are 274, 440, 288

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 21

Therefore, GCD of 274, 440, 288 is 2.

Steps to Calculate GCD of 274, 440, 288 using LCM Formula

Given numbers are 274, 440, 288

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

Apply this formula for all numbers.

Step1:

LCM(274, 440) = 60280

GCD(274, 440) = ( 274 x 440 ) / 60280

= 274 / 440

= 274


Step2:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2


So, Greatest Common Divisor of 274, 440, 288 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 274, 440, 288

Given numbers are 274, 440, 288
The greatest common divisor of numbers 274, 440, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 440, 288 is 2.

FAQs on GCD of 274, 440, 288 Calculator

1. What is the GCD of 274, 440, 288?

GCD of given numbers 274, 440, 288 is 2


2. How to calculate the greatest common divisor of 274, 440, 288?

We can find the highest common divisor of 274, 440, 288 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 274, 440, 288 i.e 2.


3. How can I use the GCD of 274, 440, 288Calculator?

Out the numbers 274, 440, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.