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GCD of 724, 344, 385, 329 Calculator

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


Online GCD Calculator is useful to find the GCD of 724, 344, 385, 329 quickly. Get the easiest ways to solve the greatest common divisor of 724, 344, 385, 329 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 724, 344, 385, 329 with Factoring?

Given Input numbers are 724, 344, 385, 329

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 329 :

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

1, 7, 47, 329


GCD of numbers is the greatest common divisor

So, the GCD (724, 344, 385, 329) = 1.

Find GCD of 724, 344, 385, 329 using Prime Factorization

Given numbers are 724, 344, 385, 329

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 385 are 5 x 7 x 11

Prime factors of 329 are 7 x 47

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

Steps to Calculate GCD of 724, 344, 385, 329 using LCM Formula

Given numbers are 724, 344, 385, 329

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

Apply this formula for all numbers.

Step1:

LCM(724, 344) = 62264

GCD(724, 344) = ( 724 x 344 ) / 62264

= 724 / 344

= 724


Step2:

LCM(4, 385) = 1540

GCD(4, 385) = ( 4 x 385 ) / 1540

= 4 / 385

= 4


Step3:

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

= 1 / 329

= 1


So, Greatest Common Divisor of 724, 344, 385, 329 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 724, 344, 385, 329

Given numbers are 724, 344, 385, 329
The greatest common divisor of numbers 724, 344, 385, 329 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 344, 385, 329 is 1.

FAQs on GCD of 724, 344, 385, 329 Calculator

1. What is the GCD of 724, 344, 385, 329?

GCD of given numbers 724, 344, 385, 329 is 1


2. How to calculate the greatest common divisor of 724, 344, 385, 329?

We can find the highest common divisor of 724, 344, 385, 329 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 724, 344, 385, 329 i.e 1.


3. How can I use the GCD of 724, 344, 385, 329Calculator?

Out the numbers 724, 344, 385, 329 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.