Greatest Common Factor of 9894/930, 4317/7203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9894/930, 4317/7203

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 9894/930,4317/7203

Given fractions are 9894/930,4317/7203

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 9894,4317

Greatest Common Factor of Numerators i.e. GCF of 9894,4317 is 3 .

LCM of Denominators means LCM of 930,7203 as per the given fractions.

LCM of 930,7203 is 2232930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9894,4317

GCF of Fractions 9894/930,4317/7203 is 3/2232930

3 9894, 4317
3298, 1439

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9894,4317 By Matching Biggest Common Factor Method

Greatest Common Factor of 9894,4317 By Matching Biggest Common Factor Method

Factors of 9894

List of positive integer factors of 9894 that divides 9894 without a remainder.

1,2,3,6,17,34,51,97,102,194,291,582,1649,3298,4947,9894

Factors of 4317

List of positive integer factors of 4317 that divides 4317 without a remainder.

1,3,1439,4317

Greatest Common Factor

We found the factors 9894,4317 . The biggest common factor number is the GCF number.
So the greatest common factor 9894,4317 is 3.

Lets's calculate LCM of 930,7203

3 930, 7203
310, 2401

∴ So the LCM of the given numbers is 3 x 310 x 2401 = 2232930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2232930

Therefore, the GCF of Fractions 9894/930,4317/7203 is 3/2232930

Least Common Multiple of 930,7203 with GCF Formula

Least Common Multiple of 930,7203 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 930,7203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,7203) = 3

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

GCF(930,7203) x common factors =3 x 1 = 3

LCM(930,7203) = ( 930 × 7203 ) / 3

LCM(930,7203) = 6698790 / 3

LCM(930,7203) = 2232930


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 9894/930, 4317/7203

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 9894/930, 4317/7203?

Answer: GCF of Numerators as per given numbers 9894/930, 4317/7203 is

GCF of Numerators i.e. for 9894,4317 is 3

LCM of denominators i.e. for 930,7203 is 2232930.

Thus, GCF of Fractions is 3/2232930.Finally, GCF of Fractions for 9894/930, 4317/7203 is 3/2232930.