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GCD of 336, 448, 109, 331 Calculator

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


Online GCD Calculator is useful to find the GCD of 336, 448, 109, 331 quickly. Get the easiest ways to solve the greatest common divisor of 336, 448, 109, 331 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 336, 448, 109, 331 with Factoring?

Given Input numbers are 336, 448, 109, 331

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

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

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331


GCD of numbers is the greatest common divisor

So, the GCD (336, 448, 109, 331) = 1.

Find GCD of 336, 448, 109, 331 using Prime Factorization

Given numbers are 336, 448, 109, 331

The list of prime factors of all numbers are

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

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 109 are 109

Prime factors of 331 are 331

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

Steps to Calculate GCD of 336, 448, 109, 331 using LCM Formula

Given numbers are 336, 448, 109, 331

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

Apply this formula for all numbers.

Step1:

LCM(336, 448) = 1344

GCD(336, 448) = ( 336 x 448 ) / 1344

= 336 / 448

= 336


Step2:

LCM(112, 109) = 12208

GCD(112, 109) = ( 112 x 109 ) / 12208

= 112 / 109

= 112


Step3:

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

= 1 / 331

= 1


So, Greatest Common Divisor of 336, 448, 109, 331 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 336, 448, 109, 331

Given numbers are 336, 448, 109, 331
The greatest common divisor of numbers 336, 448, 109, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 448, 109, 331 is 1.

FAQs on GCD of 336, 448, 109, 331 Calculator

1. What is the GCD of 336, 448, 109, 331?

GCD of given numbers 336, 448, 109, 331 is 1


2. How to calculate the greatest common divisor of 336, 448, 109, 331?

We can find the highest common divisor of 336, 448, 109, 331 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 336, 448, 109, 331 i.e 1.


3. How can I use the GCD of 336, 448, 109, 331Calculator?

Out the numbers 336, 448, 109, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.