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GCD of 335, 689, 438 Calculator

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


Online GCD Calculator is useful to find the GCD of 335, 689, 438 quickly. Get the easiest ways to solve the greatest common divisor of 335, 689, 438 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 335, 689, 438 with Factoring?

Given Input numbers are 335, 689, 438

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

Divisors of 335 :

The positive integer divisors of 335 that completely divides 335 are.

1, 5, 67, 335

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 438 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (335, 689, 438) = 1.

Find GCD of 335, 689, 438 using Prime Factorization

Given numbers are 335, 689, 438

The list of prime factors of all numbers are

Prime factors of 335 are 5 x 67

Prime factors of 689 are 13 x 53

Prime factors of 438 are 2 x 3 x 73

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

Steps to Calculate GCD of 335, 689, 438 using LCM Formula

Given numbers are 335, 689, 438

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

Apply this formula for all numbers.

Step1:

LCM(335, 689) = 230815

GCD(335, 689) = ( 335 x 689 ) / 230815

= 335 / 689

= 335


Step2:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1


So, Greatest Common Divisor of 335, 689, 438 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 335, 689, 438

Given numbers are 335, 689, 438
The greatest common divisor of numbers 335, 689, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 335, 689, 438 is 1.

FAQs on GCD of 335, 689, 438 Calculator

1. What is the GCD of 335, 689, 438?

GCD of given numbers 335, 689, 438 is 1


2. How to calculate the greatest common divisor of 335, 689, 438?

We can find the highest common divisor of 335, 689, 438 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 335, 689, 438 i.e 1.


3. How can I use the GCD of 335, 689, 438Calculator?

Out the numbers 335, 689, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.