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GCD of 734, 230, 390, 164 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, 230, 390, 164 quickly. Get the easiest ways to solve the greatest common divisor of 734, 230, 390, 164 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 734, 230, 390, 164 with Factoring?

Given Input numbers are 734, 230, 390, 164

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 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164


GCD of numbers is the greatest common divisor

So, the GCD (734, 230, 390, 164) = 2.

Find GCD of 734, 230, 390, 164 using Prime Factorization

Given numbers are 734, 230, 390, 164

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 230 are 2 x 5 x 23

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 21

Therefore, GCD of 734, 230, 390, 164 is 2.

Steps to Calculate GCD of 734, 230, 390, 164 using LCM Formula

Given numbers are 734, 230, 390, 164

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

Apply this formula for all numbers.

Step1:

LCM(734, 230) = 84410

GCD(734, 230) = ( 734 x 230 ) / 84410

= 734 / 230

= 734


Step2:

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

= 2 / 390

= 2


Step3:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2


So, Greatest Common Divisor of 734, 230, 390, 164 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 734, 230, 390, 164

Given numbers are 734, 230, 390, 164
The greatest common divisor of numbers 734, 230, 390, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 230, 390, 164 is 2.

FAQs on GCD of 734, 230, 390, 164 Calculator

1. What is the GCD of 734, 230, 390, 164?

GCD of given numbers 734, 230, 390, 164 is 2


2. How to calculate the greatest common divisor of 734, 230, 390, 164?

We can find the highest common divisor of 734, 230, 390, 164 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, 230, 390, 164 i.e 2.


3. How can I use the GCD of 734, 230, 390, 164Calculator?

Out the numbers 734, 230, 390, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.