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GCD of 226, 392, 330, 120 Calculator

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


Online GCD Calculator is useful to find the GCD of 226, 392, 330, 120 quickly. Get the easiest ways to solve the greatest common divisor of 226, 392, 330, 120 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 226, 392, 330, 120 with Factoring?

Given Input numbers are 226, 392, 330, 120

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

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120


GCD of numbers is the greatest common divisor

So, the GCD (226, 392, 330, 120) = 2.

Find GCD of 226, 392, 330, 120 using Prime Factorization

Given numbers are 226, 392, 330, 120

The list of prime factors of all numbers are

Prime factors of 226 are 2 x 113

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 21

Therefore, GCD of 226, 392, 330, 120 is 2.

Steps to Calculate GCD of 226, 392, 330, 120 using LCM Formula

Given numbers are 226, 392, 330, 120

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

Apply this formula for all numbers.

Step1:

LCM(226, 392) = 44296

GCD(226, 392) = ( 226 x 392 ) / 44296

= 226 / 392

= 226


Step2:

LCM(2, 330) = 330

GCD(2, 330) = ( 2 x 330 ) / 330

= 2 / 330

= 2


Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2


So, Greatest Common Divisor of 226, 392, 330, 120 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 226, 392, 330, 120

Given numbers are 226, 392, 330, 120
The greatest common divisor of numbers 226, 392, 330, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 226, 392, 330, 120 is 2.

FAQs on GCD of 226, 392, 330, 120 Calculator

1. What is the GCD of 226, 392, 330, 120?

GCD of given numbers 226, 392, 330, 120 is 2


2. How to calculate the greatest common divisor of 226, 392, 330, 120?

We can find the highest common divisor of 226, 392, 330, 120 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 226, 392, 330, 120 i.e 2.


3. How can I use the GCD of 226, 392, 330, 120Calculator?

Out the numbers 226, 392, 330, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.