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GCD of 334, 310, 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 334, 310, 117 quickly. Get the easiest ways to solve the greatest common divisor of 334, 310, 117 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 334, 310, 117 with Factoring?

Given Input numbers are 334, 310, 117

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

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

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 (334, 310, 117) = 1.

Find GCD of 334, 310, 117 using Prime Factorization

Given numbers are 334, 310, 117

The list of prime factors of all numbers are

Prime factors of 334 are 2 x 167

Prime factors of 310 are 2 x 5 x 31

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 334, 310, 117 using LCM Formula

Given numbers are 334, 310, 117

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

Apply this formula for all numbers.

Step1:

LCM(334, 310) = 51770

GCD(334, 310) = ( 334 x 310 ) / 51770

= 334 / 310

= 334


Step2:

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

= 2 / 117

= 2


So, Greatest Common Divisor of 334, 310, 117 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 334, 310, 117

Given numbers are 334, 310, 117
The greatest common divisor of numbers 334, 310, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 334, 310, 117 is 1.

FAQs on GCD of 334, 310, 117 Calculator

1. What is the GCD of 334, 310, 117?

GCD of given numbers 334, 310, 117 is 1


2. How to calculate the greatest common divisor of 334, 310, 117?

We can find the highest common divisor of 334, 310, 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 334, 310, 117 i.e 1.


3. How can I use the GCD of 334, 310, 117Calculator?

Out the numbers 334, 310, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.