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GCD of 312, 123, 452, 336 Calculator

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


Online GCD Calculator is useful to find the GCD of 312, 123, 452, 336 quickly. Get the easiest ways to solve the greatest common divisor of 312, 123, 452, 336 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 312, 123, 452, 336 with Factoring?

Given Input numbers are 312, 123, 452, 336

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

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336


GCD of numbers is the greatest common divisor

So, the GCD (312, 123, 452, 336) = 1.

Find GCD of 312, 123, 452, 336 using Prime Factorization

Given numbers are 312, 123, 452, 336

The list of prime factors of all numbers are

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

Prime factors of 123 are 3 x 41

Prime factors of 452 are 2 x 2 x 113

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

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

Steps to Calculate GCD of 312, 123, 452, 336 using LCM Formula

Given numbers are 312, 123, 452, 336

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

Apply this formula for all numbers.

Step1:

LCM(312, 123) = 12792

GCD(312, 123) = ( 312 x 123 ) / 12792

= 312 / 123

= 312


Step2:

LCM(3, 452) = 1356

GCD(3, 452) = ( 3 x 452 ) / 1356

= 3 / 452

= 3


Step3:

LCM(1, 336) = 336

GCD(1, 336) = ( 1 x 336 ) / 336

= 1 / 336

= 1


So, Greatest Common Divisor of 312, 123, 452, 336 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 312, 123, 452, 336

Given numbers are 312, 123, 452, 336
The greatest common divisor of numbers 312, 123, 452, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 123, 452, 336 is 1.

FAQs on GCD of 312, 123, 452, 336 Calculator

1. What is the GCD of 312, 123, 452, 336?

GCD of given numbers 312, 123, 452, 336 is 1


2. How to calculate the greatest common divisor of 312, 123, 452, 336?

We can find the highest common divisor of 312, 123, 452, 336 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 312, 123, 452, 336 i.e 1.


3. How can I use the GCD of 312, 123, 452, 336Calculator?

Out the numbers 312, 123, 452, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.