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GCD of 229, 605, 138, 231 Calculator

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


Online GCD Calculator is useful to find the GCD of 229, 605, 138, 231 quickly. Get the easiest ways to solve the greatest common divisor of 229, 605, 138, 231 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 229, 605, 138, 231 with Factoring?

Given Input numbers are 229, 605, 138, 231

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

Divisors of 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229

Divisors of 605 :

The positive integer divisors of 605 that completely divides 605 are.

1, 5, 11, 55, 121, 605

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231


GCD of numbers is the greatest common divisor

So, the GCD (229, 605, 138, 231) = 1.

Find GCD of 229, 605, 138, 231 using Prime Factorization

Given numbers are 229, 605, 138, 231

The list of prime factors of all numbers are

Prime factors of 229 are 229

Prime factors of 605 are 5 x 11 x 11

Prime factors of 138 are 2 x 3 x 23

Prime factors of 231 are 3 x 7 x 11

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

Steps to Calculate GCD of 229, 605, 138, 231 using LCM Formula

Given numbers are 229, 605, 138, 231

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

Apply this formula for all numbers.

Step1:

LCM(229, 605) = 138545

GCD(229, 605) = ( 229 x 605 ) / 138545

= 229 / 605

= 229


Step2:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1


Step3:

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

= 1 / 231

= 1


So, Greatest Common Divisor of 229, 605, 138, 231 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 229, 605, 138, 231

Given numbers are 229, 605, 138, 231
The greatest common divisor of numbers 229, 605, 138, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 229, 605, 138, 231 is 1.

FAQs on GCD of 229, 605, 138, 231 Calculator

1. What is the GCD of 229, 605, 138, 231?

GCD of given numbers 229, 605, 138, 231 is 1


2. How to calculate the greatest common divisor of 229, 605, 138, 231?

We can find the highest common divisor of 229, 605, 138, 231 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 229, 605, 138, 231 i.e 1.


3. How can I use the GCD of 229, 605, 138, 231Calculator?

Out the numbers 229, 605, 138, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.