LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 322, 360, 390, 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 322, 360, 390, 120 quickly. Get the easiest ways to solve the greatest common divisor of 322, 360, 390, 120 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 322, 360, 390, 120 with Factoring?

Given Input numbers are 322, 360, 390, 120

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

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 (322, 360, 390, 120) = 2.

Find GCD of 322, 360, 390, 120 using Prime Factorization

Given numbers are 322, 360, 390, 120

The list of prime factors of all numbers are

Prime factors of 322 are 2 x 7 x 23

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 390 are 2 x 3 x 5 x 13

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

The highest common occurrence is 21

Therefore, GCD of 322, 360, 390, 120 is 2.

Steps to Calculate GCD of 322, 360, 390, 120 using LCM Formula

Given numbers are 322, 360, 390, 120

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

Apply this formula for all numbers.

Step1:

LCM(322, 360) = 57960

GCD(322, 360) = ( 322 x 360 ) / 57960

= 322 / 360

= 322


Step2:

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

= 2 / 390

= 2


Step3:

LCM(2, 120) = 120

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

= 2 / 120

= 2


So, Greatest Common Divisor of 322, 360, 390, 120 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 322, 360, 390, 120

Given numbers are 322, 360, 390, 120
The greatest common divisor of numbers 322, 360, 390, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 360, 390, 120 is 2.

FAQs on GCD of 322, 360, 390, 120 Calculator

1. What is the GCD of 322, 360, 390, 120?

GCD of given numbers 322, 360, 390, 120 is 2


2. How to calculate the greatest common divisor of 322, 360, 390, 120?

We can find the highest common divisor of 322, 360, 390, 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 322, 360, 390, 120 i.e 2.


3. How can I use the GCD of 322, 360, 390, 120Calculator?

Out the numbers 322, 360, 390, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.