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GCD of 104, 446, 438, 238 Calculator

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


Online GCD Calculator is useful to find the GCD of 104, 446, 438, 238 quickly. Get the easiest ways to solve the greatest common divisor of 104, 446, 438, 238 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 104, 446, 438, 238 with Factoring?

Given Input numbers are 104, 446, 438, 238

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 438 :

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

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238


GCD of numbers is the greatest common divisor

So, the GCD (104, 446, 438, 238) = 2.

Find GCD of 104, 446, 438, 238 using Prime Factorization

Given numbers are 104, 446, 438, 238

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 446 are 2 x 223

Prime factors of 438 are 2 x 3 x 73

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 21

Therefore, GCD of 104, 446, 438, 238 is 2.

Steps to Calculate GCD of 104, 446, 438, 238 using LCM Formula

Given numbers are 104, 446, 438, 238

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

Apply this formula for all numbers.

Step1:

LCM(104, 446) = 23192

GCD(104, 446) = ( 104 x 446 ) / 23192

= 104 / 446

= 104


Step2:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2


Step3:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2


So, Greatest Common Divisor of 104, 446, 438, 238 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 104, 446, 438, 238

Given numbers are 104, 446, 438, 238
The greatest common divisor of numbers 104, 446, 438, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 446, 438, 238 is 2.

FAQs on GCD of 104, 446, 438, 238 Calculator

1. What is the GCD of 104, 446, 438, 238?

GCD of given numbers 104, 446, 438, 238 is 2


2. How to calculate the greatest common divisor of 104, 446, 438, 238?

We can find the highest common divisor of 104, 446, 438, 238 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 104, 446, 438, 238 i.e 2.


3. How can I use the GCD of 104, 446, 438, 238Calculator?

Out the numbers 104, 446, 438, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.