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GCD of 238, 380, 659, 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 238, 380, 659, 344 quickly. Get the easiest ways to solve the greatest common divisor of 238, 380, 659, 344 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 238, 380, 659, 344 with Factoring?

Given Input numbers are 238, 380, 659, 344

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

Divisors of 238 :

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

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

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 (238, 380, 659, 344) = 1.

Find GCD of 238, 380, 659, 344 using Prime Factorization

Given numbers are 238, 380, 659, 344

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 659 are 659

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 238, 380, 659, 344 using LCM Formula

Given numbers are 238, 380, 659, 344

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

Apply this formula for all numbers.

Step1:

LCM(238, 380) = 45220

GCD(238, 380) = ( 238 x 380 ) / 45220

= 238 / 380

= 238


Step2:

LCM(2, 659) = 1318

GCD(2, 659) = ( 2 x 659 ) / 1318

= 2 / 659

= 2


Step3:

LCM(1, 344) = 344

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

= 1 / 344

= 1


So, Greatest Common Divisor of 238, 380, 659, 344 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 238, 380, 659, 344

Given numbers are 238, 380, 659, 344
The greatest common divisor of numbers 238, 380, 659, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 380, 659, 344 is 1.

FAQs on GCD of 238, 380, 659, 344 Calculator

1. What is the GCD of 238, 380, 659, 344?

GCD of given numbers 238, 380, 659, 344 is 1


2. How to calculate the greatest common divisor of 238, 380, 659, 344?

We can find the highest common divisor of 238, 380, 659, 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 238, 380, 659, 344 i.e 1.


3. How can I use the GCD of 238, 380, 659, 344Calculator?

Out the numbers 238, 380, 659, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.