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GCD of 509, 341, 68 Calculator

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


Online GCD Calculator is useful to find the GCD of 509, 341, 68 quickly. Get the easiest ways to solve the greatest common divisor of 509, 341, 68 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 509, 341, 68 with Factoring?

Given Input numbers are 509, 341, 68

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 341 :

The positive integer divisors of 341 that completely divides 341 are.

1, 11, 31, 341

Divisors of 68 :

The positive integer divisors of 68 that completely divides 68 are.

1, 2, 4, 17, 34, 68


GCD of numbers is the greatest common divisor

So, the GCD (509, 341, 68) = 1.

Find GCD of 509, 341, 68 using Prime Factorization

Given numbers are 509, 341, 68

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 341 are 11 x 31

Prime factors of 68 are 2 x 2 x 17

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

Steps to Calculate GCD of 509, 341, 68 using LCM Formula

Given numbers are 509, 341, 68

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

Apply this formula for all numbers.

Step1:

LCM(509, 341) = 173569

GCD(509, 341) = ( 509 x 341 ) / 173569

= 509 / 341

= 509


Step2:

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

= 1 / 68

= 1


So, Greatest Common Divisor of 509, 341, 68 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 509, 341, 68

Given numbers are 509, 341, 68
The greatest common divisor of numbers 509, 341, 68 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 341, 68 is 1.

FAQs on GCD of 509, 341, 68 Calculator

1. What is the GCD of 509, 341, 68?

GCD of given numbers 509, 341, 68 is 1


2. How to calculate the greatest common divisor of 509, 341, 68?

We can find the highest common divisor of 509, 341, 68 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 509, 341, 68 i.e 1.


3. How can I use the GCD of 509, 341, 68Calculator?

Out the numbers 509, 341, 68 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.