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GCD of 609, 226, 65 Calculator

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


Online GCD Calculator is useful to find the GCD of 609, 226, 65 quickly. Get the easiest ways to solve the greatest common divisor of 609, 226, 65 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 609, 226, 65 with Factoring?

Given Input numbers are 609, 226, 65

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

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 65 :

The positive integer divisors of 65 that completely divides 65 are.

1, 5, 13, 65


GCD of numbers is the greatest common divisor

So, the GCD (609, 226, 65) = 1.

Find GCD of 609, 226, 65 using Prime Factorization

Given numbers are 609, 226, 65

The list of prime factors of all numbers are

Prime factors of 609 are 3 x 7 x 29

Prime factors of 226 are 2 x 113

Prime factors of 65 are 5 x 13

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

Steps to Calculate GCD of 609, 226, 65 using LCM Formula

Given numbers are 609, 226, 65

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

Apply this formula for all numbers.

Step1:

LCM(609, 226) = 137634

GCD(609, 226) = ( 609 x 226 ) / 137634

= 609 / 226

= 609


Step2:

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

= 1 / 65

= 1


So, Greatest Common Divisor of 609, 226, 65 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 609, 226, 65

Given numbers are 609, 226, 65
The greatest common divisor of numbers 609, 226, 65 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 226, 65 is 1.

FAQs on GCD of 609, 226, 65 Calculator

1. What is the GCD of 609, 226, 65?

GCD of given numbers 609, 226, 65 is 1


2. How to calculate the greatest common divisor of 609, 226, 65?

We can find the highest common divisor of 609, 226, 65 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 609, 226, 65 i.e 1.


3. How can I use the GCD of 609, 226, 65Calculator?

Out the numbers 609, 226, 65 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.