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GCD of 329, 383, 114, 441 Calculator

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


Online GCD Calculator is useful to find the GCD of 329, 383, 114, 441 quickly. Get the easiest ways to solve the greatest common divisor of 329, 383, 114, 441 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 329, 383, 114, 441 with Factoring?

Given Input numbers are 329, 383, 114, 441

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

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 383 :

The positive integer divisors of 383 that completely divides 383 are.

1, 383

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441


GCD of numbers is the greatest common divisor

So, the GCD (329, 383, 114, 441) = 1.

Find GCD of 329, 383, 114, 441 using Prime Factorization

Given numbers are 329, 383, 114, 441

The list of prime factors of all numbers are

Prime factors of 329 are 7 x 47

Prime factors of 383 are 383

Prime factors of 114 are 2 x 3 x 19

Prime factors of 441 are 3 x 3 x 7 x 7

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

Steps to Calculate GCD of 329, 383, 114, 441 using LCM Formula

Given numbers are 329, 383, 114, 441

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

Apply this formula for all numbers.

Step1:

LCM(329, 383) = 126007

GCD(329, 383) = ( 329 x 383 ) / 126007

= 329 / 383

= 329


Step2:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1


Step3:

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

= 1 / 441

= 1


So, Greatest Common Divisor of 329, 383, 114, 441 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 329, 383, 114, 441

Given numbers are 329, 383, 114, 441
The greatest common divisor of numbers 329, 383, 114, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 329, 383, 114, 441 is 1.

FAQs on GCD of 329, 383, 114, 441 Calculator

1. What is the GCD of 329, 383, 114, 441?

GCD of given numbers 329, 383, 114, 441 is 1


2. How to calculate the greatest common divisor of 329, 383, 114, 441?

We can find the highest common divisor of 329, 383, 114, 441 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 329, 383, 114, 441 i.e 1.


3. How can I use the GCD of 329, 383, 114, 441Calculator?

Out the numbers 329, 383, 114, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.