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GCD of 704, 365, 908, 344 Calculator

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


Online GCD Calculator is useful to find the GCD of 704, 365, 908, 344 quickly. Get the easiest ways to solve the greatest common divisor of 704, 365, 908, 344 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 704, 365, 908, 344 with Factoring?

Given Input numbers are 704, 365, 908, 344

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 344 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (704, 365, 908, 344) = 1.

Find GCD of 704, 365, 908, 344 using Prime Factorization

Given numbers are 704, 365, 908, 344

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 365 are 5 x 73

Prime factors of 908 are 2 x 2 x 227

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

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

Steps to Calculate GCD of 704, 365, 908, 344 using LCM Formula

Given numbers are 704, 365, 908, 344

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

Apply this formula for all numbers.

Step1:

LCM(704, 365) = 256960

GCD(704, 365) = ( 704 x 365 ) / 256960

= 704 / 365

= 704


Step2:

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

= 1 / 908

= 1


Step3:

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

= 1 / 344

= 1


So, Greatest Common Divisor of 704, 365, 908, 344 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 704, 365, 908, 344

Given numbers are 704, 365, 908, 344
The greatest common divisor of numbers 704, 365, 908, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 365, 908, 344 is 1.

FAQs on GCD of 704, 365, 908, 344 Calculator

1. What is the GCD of 704, 365, 908, 344?

GCD of given numbers 704, 365, 908, 344 is 1


2. How to calculate the greatest common divisor of 704, 365, 908, 344?

We can find the highest common divisor of 704, 365, 908, 344 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 704, 365, 908, 344 i.e 1.


3. How can I use the GCD of 704, 365, 908, 344Calculator?

Out the numbers 704, 365, 908, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.