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GCD of 438, 730, 105, 184 Calculator

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


Online GCD Calculator is useful to find the GCD of 438, 730, 105, 184 quickly. Get the easiest ways to solve the greatest common divisor of 438, 730, 105, 184 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 438, 730, 105, 184 with Factoring?

Given Input numbers are 438, 730, 105, 184

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184


GCD of numbers is the greatest common divisor

So, the GCD (438, 730, 105, 184) = 1.

Find GCD of 438, 730, 105, 184 using Prime Factorization

Given numbers are 438, 730, 105, 184

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 730 are 2 x 5 x 73

Prime factors of 105 are 3 x 5 x 7

Prime factors of 184 are 2 x 2 x 2 x 23

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

Steps to Calculate GCD of 438, 730, 105, 184 using LCM Formula

Given numbers are 438, 730, 105, 184

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

Apply this formula for all numbers.

Step1:

LCM(438, 730) = 2190

GCD(438, 730) = ( 438 x 730 ) / 2190

= 438 / 730

= 438


Step2:

LCM(146, 105) = 15330

GCD(146, 105) = ( 146 x 105 ) / 15330

= 146 / 105

= 146


Step3:

LCM(1, 184) = 184

GCD(1, 184) = ( 1 x 184 ) / 184

= 1 / 184

= 1


So, Greatest Common Divisor of 438, 730, 105, 184 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 438, 730, 105, 184

Given numbers are 438, 730, 105, 184
The greatest common divisor of numbers 438, 730, 105, 184 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 730, 105, 184 is 1.

FAQs on GCD of 438, 730, 105, 184 Calculator

1. What is the GCD of 438, 730, 105, 184?

GCD of given numbers 438, 730, 105, 184 is 1


2. How to calculate the greatest common divisor of 438, 730, 105, 184?

We can find the highest common divisor of 438, 730, 105, 184 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 438, 730, 105, 184 i.e 1.


3. How can I use the GCD of 438, 730, 105, 184Calculator?

Out the numbers 438, 730, 105, 184 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.