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GCD of 343, 404, 999, 117 Calculator

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


Online GCD Calculator is useful to find the GCD of 343, 404, 999, 117 quickly. Get the easiest ways to solve the greatest common divisor of 343, 404, 999, 117 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 343, 404, 999, 117 with Factoring?

Given Input numbers are 343, 404, 999, 117

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

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117


GCD of numbers is the greatest common divisor

So, the GCD (343, 404, 999, 117) = 1.

Find GCD of 343, 404, 999, 117 using Prime Factorization

Given numbers are 343, 404, 999, 117

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 404 are 2 x 2 x 101

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 117 are 3 x 3 x 13

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

Steps to Calculate GCD of 343, 404, 999, 117 using LCM Formula

Given numbers are 343, 404, 999, 117

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

Apply this formula for all numbers.

Step1:

LCM(343, 404) = 138572

GCD(343, 404) = ( 343 x 404 ) / 138572

= 343 / 404

= 343


Step2:

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

= 1 / 999

= 1


Step3:

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

= 1 / 117

= 1


So, Greatest Common Divisor of 343, 404, 999, 117 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 343, 404, 999, 117

Given numbers are 343, 404, 999, 117
The greatest common divisor of numbers 343, 404, 999, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 404, 999, 117 is 1.

FAQs on GCD of 343, 404, 999, 117 Calculator

1. What is the GCD of 343, 404, 999, 117?

GCD of given numbers 343, 404, 999, 117 is 1


2. How to calculate the greatest common divisor of 343, 404, 999, 117?

We can find the highest common divisor of 343, 404, 999, 117 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 343, 404, 999, 117 i.e 1.


3. How can I use the GCD of 343, 404, 999, 117Calculator?

Out the numbers 343, 404, 999, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.