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GCD of 468, 120, 235, 321 Calculator

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


Online GCD Calculator is useful to find the GCD of 468, 120, 235, 321 quickly. Get the easiest ways to solve the greatest common divisor of 468, 120, 235, 321 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 468, 120, 235, 321 with Factoring?

Given Input numbers are 468, 120, 235, 321

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321


GCD of numbers is the greatest common divisor

So, the GCD (468, 120, 235, 321) = 1.

Find GCD of 468, 120, 235, 321 using Prime Factorization

Given numbers are 468, 120, 235, 321

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

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

Prime factors of 235 are 5 x 47

Prime factors of 321 are 3 x 107

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 468, 120, 235, 321 using LCM Formula

Given numbers are 468, 120, 235, 321

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

Apply this formula for all numbers.

Step1:

LCM(468, 120) = 4680

GCD(468, 120) = ( 468 x 120 ) / 4680

= 468 / 120

= 468


Step2:

LCM(12, 235) = 2820

GCD(12, 235) = ( 12 x 235 ) / 2820

= 12 / 235

= 12


Step3:

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

= 1 / 321

= 1


So, Greatest Common Divisor of 468, 120, 235, 321 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 468, 120, 235, 321

Given numbers are 468, 120, 235, 321
The greatest common divisor of numbers 468, 120, 235, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 120, 235, 321 is 1.

FAQs on GCD of 468, 120, 235, 321 Calculator

1. What is the GCD of 468, 120, 235, 321?

GCD of given numbers 468, 120, 235, 321 is 1


2. How to calculate the greatest common divisor of 468, 120, 235, 321?

We can find the highest common divisor of 468, 120, 235, 321 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 468, 120, 235, 321 i.e 1.


3. How can I use the GCD of 468, 120, 235, 321Calculator?

Out the numbers 468, 120, 235, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.