Greatest Common Factor of 1217/323, 1908/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1217/323, 1908/713

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 1217/323,1908/713

Given fractions are 1217/323,1908/713

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 1217,1908

Greatest Common Factor of Numerators i.e. GCF of 1217,1908 is 1 .

LCM of Denominators means LCM of 323,713 as per the given fractions.

LCM of 323,713 is 230299 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1217,1908

GCF of Fractions 1217/323,1908/713 is 1/230299

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1217,1908 By Matching Biggest Common Factor Method

Greatest Common Factor of 1217,1908 By Matching Biggest Common Factor Method

Factors of 1217

List of positive integer factors of 1217 that divides 1217 without a remainder.

1,1217

Factors of 1908

List of positive integer factors of 1908 that divides 1908 without a remainder.

1,2,3,4,6,9,12,18,36,53,106,159,212,318,477,636,954,1908

Greatest Common Factor

We found the factors 1217,1908 . The biggest common factor number is the GCF number.
So the greatest common factor 1217,1908 is 1.

Lets's calculate LCM of 323,713

Given numbers has no common factors except 1. So, there LCM is their product i.e 230299

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230299

Therefore, the GCF of Fractions 1217/323,1908/713 is 1/230299

Least Common Multiple of 323,713 with GCF Formula

Least Common Multiple of 323,713 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 323,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,713) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(323,713) x common factors =1 x 1 = 1

LCM(323,713) = ( 323 × 713 ) / 1

LCM(323,713) = 230299 / 1

LCM(323,713) = 230299


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1217/323, 1908/713

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 1217/323, 1908/713?

Answer: GCF of Numerators as per given numbers 1217/323, 1908/713 is

GCF of Numerators i.e. for 1217,1908 is 1

LCM of denominators i.e. for 323,713 is 230299.

Thus, GCF of Fractions is 1/230299.Finally, GCF of Fractions for 1217/323, 1908/713 is 1/230299.