Greatest Common Factor of 9891/334, 9414/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9891/334, 9414/427

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 9891/334,9414/427

Given fractions are 9891/334,9414/427

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 9891,9414

Greatest Common Factor of Numerators i.e. GCF of 9891,9414 is 9 .

LCM of Denominators means LCM of 334,427 as per the given fractions.

LCM of 334,427 is 142618 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9891,9414

GCF of Fractions 9891/334,9414/427 is 9/142618

3 9891, 9414
3 3297, 3138
1099, 1046

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 9891,9414 By Matching Biggest Common Factor Method

Greatest Common Factor of 9891,9414 By Matching Biggest Common Factor Method

Factors of 9891

List of positive integer factors of 9891 that divides 9891 without a remainder.

1,3,7,9,21,63,157,471,1099,1413,3297,9891

Factors of 9414

List of positive integer factors of 9414 that divides 9414 without a remainder.

1,2,3,6,9,18,523,1046,1569,3138,4707,9414

Greatest Common Factor

We found the factors 9891,9414 . The biggest common factor number is the GCF number.
So the greatest common factor 9891,9414 is 9.

Lets's calculate LCM of 334,427

Given numbers has no common factors except 1. So, there LCM is their product i.e 142618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/142618

Therefore, the GCF of Fractions 9891/334,9414/427 is 9/142618

Least Common Multiple of 334,427 with GCF Formula

Least Common Multiple of 334,427 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 334,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,427) = 1

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

GCF(334,427) x common factors =1 x 1 = 1

LCM(334,427) = ( 334 × 427 ) / 1

LCM(334,427) = 142618 / 1

LCM(334,427) = 142618


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 9891/334, 9414/427

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 9891/334, 9414/427?

Answer: GCF of Numerators as per given numbers 9891/334, 9414/427 is

GCF of Numerators i.e. for 9891,9414 is 9

LCM of denominators i.e. for 334,427 is 142618.

Thus, GCF of Fractions is 9/142618.Finally, GCF of Fractions for 9891/334, 9414/427 is 9/142618.