Greatest Common Factor of 9199/635, 9688/3217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9199/635, 9688/3217

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 9199/635,9688/3217

Given fractions are 9199/635,9688/3217

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 9199,9688

Greatest Common Factor of Numerators i.e. GCF of 9199,9688 is 1 .

LCM of Denominators means LCM of 635,3217 as per the given fractions.

LCM of 635,3217 is 2042795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9199,9688

GCF of Fractions 9199/635,9688/3217 is 1/2042795

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

Greatest Common Factor of 9199,9688 By Matching Biggest Common Factor Method

Greatest Common Factor of 9199,9688 By Matching Biggest Common Factor Method

Factors of 9199

List of positive integer factors of 9199 that divides 9199 without a remainder.

1,9199

Factors of 9688

List of positive integer factors of 9688 that divides 9688 without a remainder.

1,2,4,7,8,14,28,56,173,346,692,1211,1384,2422,4844,9688

Greatest Common Factor

We found the factors 9199,9688 . The biggest common factor number is the GCF number.
So the greatest common factor 9199,9688 is 1.

Lets's calculate LCM of 635,3217

Given numbers has no common factors except 1. So, there LCM is their product i.e 2042795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2042795

Therefore, the GCF of Fractions 9199/635,9688/3217 is 1/2042795

Least Common Multiple of 635,3217 with GCF Formula

Least Common Multiple of 635,3217 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 635,3217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(635,3217) = 1

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

GCF(635,3217) x common factors =1 x 1 = 1

LCM(635,3217) = ( 635 × 3217 ) / 1

LCM(635,3217) = 2042795 / 1

LCM(635,3217) = 2042795


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 9199/635, 9688/3217

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 9199/635, 9688/3217?

Answer: GCF of Numerators as per given numbers 9199/635, 9688/3217 is

GCF of Numerators i.e. for 9199,9688 is 1

LCM of denominators i.e. for 635,3217 is 2042795.

Thus, GCF of Fractions is 1/2042795.Finally, GCF of Fractions for 9199/635, 9688/3217 is 1/2042795.