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GCD of 330, 648, 310, 920 Calculator

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


Online GCD Calculator is useful to find the GCD of 330, 648, 310, 920 quickly. Get the easiest ways to solve the greatest common divisor of 330, 648, 310, 920 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 330, 648, 310, 920 with Factoring?

Given Input numbers are 330, 648, 310, 920

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

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 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920


GCD of numbers is the greatest common divisor

So, the GCD (330, 648, 310, 920) = 2.

Find GCD of 330, 648, 310, 920 using Prime Factorization

Given numbers are 330, 648, 310, 920

The list of prime factors of all numbers are

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

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 310 are 2 x 5 x 31

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 21

Therefore, GCD of 330, 648, 310, 920 is 2.

Steps to Calculate GCD of 330, 648, 310, 920 using LCM Formula

Given numbers are 330, 648, 310, 920

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

Apply this formula for all numbers.

Step1:

LCM(330, 648) = 35640

GCD(330, 648) = ( 330 x 648 ) / 35640

= 330 / 648

= 330


Step2:

LCM(6, 310) = 930

GCD(6, 310) = ( 6 x 310 ) / 930

= 6 / 310

= 6


Step3:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2


So, Greatest Common Divisor of 330, 648, 310, 920 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 330, 648, 310, 920

Given numbers are 330, 648, 310, 920
The greatest common divisor of numbers 330, 648, 310, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 648, 310, 920 is 2.

FAQs on GCD of 330, 648, 310, 920 Calculator

1. What is the GCD of 330, 648, 310, 920?

GCD of given numbers 330, 648, 310, 920 is 2


2. How to calculate the greatest common divisor of 330, 648, 310, 920?

We can find the highest common divisor of 330, 648, 310, 920 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 330, 648, 310, 920 i.e 2.


3. How can I use the GCD of 330, 648, 310, 920Calculator?

Out the numbers 330, 648, 310, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.