Greatest Common Factor of 9917/320, 5899/1234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9917/320, 5899/1234

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 9917/320,5899/1234

Given fractions are 9917/320,5899/1234

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 9917,5899

Greatest Common Factor of Numerators i.e. GCF of 9917,5899 is 1 .

LCM of Denominators means LCM of 320,1234 as per the given fractions.

LCM of 320,1234 is 197440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9917,5899

GCF of Fractions 9917/320,5899/1234 is 1/197440

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

Greatest Common Factor of 9917,5899 By Matching Biggest Common Factor Method

Greatest Common Factor of 9917,5899 By Matching Biggest Common Factor Method

Factors of 9917

List of positive integer factors of 9917 that divides 9917 without a remainder.

1,47,211,9917

Factors of 5899

List of positive integer factors of 5899 that divides 5899 without a remainder.

1,17,347,5899

Greatest Common Factor

We found the factors 9917,5899 . The biggest common factor number is the GCF number.
So the greatest common factor 9917,5899 is 1.

Lets's calculate LCM of 320,1234

2 320, 1234
160, 617

∴ So the LCM of the given numbers is 2 x 160 x 617 = 197440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197440

Therefore, the GCF of Fractions 9917/320,5899/1234 is 1/197440

Least Common Multiple of 320,1234 with GCF Formula

Least Common Multiple of 320,1234 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 320,1234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,1234) = 2

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

GCF(320,1234) x common factors =2 x 1 = 2

LCM(320,1234) = ( 320 × 1234 ) / 2

LCM(320,1234) = 394880 / 2

LCM(320,1234) = 197440


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 9917/320, 5899/1234

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 9917/320, 5899/1234?

Answer: GCF of Numerators as per given numbers 9917/320, 5899/1234 is

GCF of Numerators i.e. for 9917,5899 is 1

LCM of denominators i.e. for 320,1234 is 197440.

Thus, GCF of Fractions is 1/197440.Finally, GCF of Fractions for 9917/320, 5899/1234 is 1/197440.