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GCD of 104, 468, 312 Calculator

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


Online GCD Calculator is useful to find the GCD of 104, 468, 312 quickly. Get the easiest ways to solve the greatest common divisor of 104, 468, 312 i.e 52 in different methods as follows.

GCD of

How to Find GCD of Numbers 104, 468, 312 with Factoring?

Given Input numbers are 104, 468, 312

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312


GCD of numbers is the greatest common divisor

So, the GCD (104, 468, 312) = 52.

Find GCD of 104, 468, 312 using Prime Factorization

Given numbers are 104, 468, 312

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

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

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 131 x 22

Therefore, GCD of 104, 468, 312 is 52.

Steps to Calculate GCD of 104, 468, 312 using LCM Formula

Given numbers are 104, 468, 312

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

Apply this formula for all numbers.

Step1:

LCM(104, 468) = 936

GCD(104, 468) = ( 104 x 468 ) / 936

= 104 / 468

= 104


Step2:

LCM(52, 312) = 312

GCD(52, 312) = ( 52 x 312 ) / 312

= 52 / 312

= 52


So, Greatest Common Divisor of 104, 468, 312 is 52

GCD of Numbers Calculation Examples

Greatest Common Divisor of 104, 468, 312

Given numbers are 104, 468, 312
The greatest common divisor of numbers 104, 468, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 468, 312 is 52.

FAQs on GCD of 104, 468, 312 Calculator

1. What is the GCD of 104, 468, 312?

GCD of given numbers 104, 468, 312 is 52


2. How to calculate the greatest common divisor of 104, 468, 312?

We can find the highest common divisor of 104, 468, 312 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 104, 468, 312 i.e 52.


3. How can I use the GCD of 104, 468, 312Calculator?

Out the numbers 104, 468, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.