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GCD of 734, 313, 365 Calculator

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


Online GCD Calculator is useful to find the GCD of 734, 313, 365 quickly. Get the easiest ways to solve the greatest common divisor of 734, 313, 365 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 734, 313, 365 with Factoring?

Given Input numbers are 734, 313, 365

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 365 :

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

1, 5, 73, 365


GCD of numbers is the greatest common divisor

So, the GCD (734, 313, 365) = 1.

Find GCD of 734, 313, 365 using Prime Factorization

Given numbers are 734, 313, 365

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 313 are 313

Prime factors of 365 are 5 x 73

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

Steps to Calculate GCD of 734, 313, 365 using LCM Formula

Given numbers are 734, 313, 365

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

Apply this formula for all numbers.

Step1:

LCM(734, 313) = 229742

GCD(734, 313) = ( 734 x 313 ) / 229742

= 734 / 313

= 734


Step2:

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

= 1 / 365

= 1


So, Greatest Common Divisor of 734, 313, 365 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 734, 313, 365

Given numbers are 734, 313, 365
The greatest common divisor of numbers 734, 313, 365 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 313, 365 is 1.

FAQs on GCD of 734, 313, 365 Calculator

1. What is the GCD of 734, 313, 365?

GCD of given numbers 734, 313, 365 is 1


2. How to calculate the greatest common divisor of 734, 313, 365?

We can find the highest common divisor of 734, 313, 365 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 734, 313, 365 i.e 1.


3. How can I use the GCD of 734, 313, 365Calculator?

Out the numbers 734, 313, 365 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.