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GCD of 170, 243, 338, 994 Calculator

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


Online GCD Calculator is useful to find the GCD of 170, 243, 338, 994 quickly. Get the easiest ways to solve the greatest common divisor of 170, 243, 338, 994 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 170, 243, 338, 994 with Factoring?

Given Input numbers are 170, 243, 338, 994

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994


GCD of numbers is the greatest common divisor

So, the GCD (170, 243, 338, 994) = 1.

Find GCD of 170, 243, 338, 994 using Prime Factorization

Given numbers are 170, 243, 338, 994

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 338 are 2 x 13 x 13

Prime factors of 994 are 2 x 7 x 71

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

Steps to Calculate GCD of 170, 243, 338, 994 using LCM Formula

Given numbers are 170, 243, 338, 994

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

Apply this formula for all numbers.

Step1:

LCM(170, 243) = 41310

GCD(170, 243) = ( 170 x 243 ) / 41310

= 170 / 243

= 170


Step2:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1


Step3:

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

= 1 / 994

= 1


So, Greatest Common Divisor of 170, 243, 338, 994 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 170, 243, 338, 994

Given numbers are 170, 243, 338, 994
The greatest common divisor of numbers 170, 243, 338, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 243, 338, 994 is 1.

FAQs on GCD of 170, 243, 338, 994 Calculator

1. What is the GCD of 170, 243, 338, 994?

GCD of given numbers 170, 243, 338, 994 is 1


2. How to calculate the greatest common divisor of 170, 243, 338, 994?

We can find the highest common divisor of 170, 243, 338, 994 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 170, 243, 338, 994 i.e 1.


3. How can I use the GCD of 170, 243, 338, 994Calculator?

Out the numbers 170, 243, 338, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.