Greatest Common Factor of 9444/19, 9954/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9444/19, 9954/749

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 9444/19,9954/749

Given fractions are 9444/19,9954/749

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 9444,9954

Greatest Common Factor of Numerators i.e. GCF of 9444,9954 is 6 .

LCM of Denominators means LCM of 19,749 as per the given fractions.

LCM of 19,749 is 14231 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9444,9954

GCF of Fractions 9444/19,9954/749 is 6/14231

2 9444, 9954
3 4722, 4977
1574, 1659

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 9444,9954 By Matching Biggest Common Factor Method

Greatest Common Factor of 9444,9954 By Matching Biggest Common Factor Method

Factors of 9444

List of positive integer factors of 9444 that divides 9444 without a remainder.

1,2,3,4,6,12,787,1574,2361,3148,4722,9444

Factors of 9954

List of positive integer factors of 9954 that divides 9954 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,79,126,158,237,474,553,711,1106,1422,1659,3318,4977,9954

Greatest Common Factor

We found the factors 9444,9954 . The biggest common factor number is the GCF number.
So the greatest common factor 9444,9954 is 6.

Lets's calculate LCM of 19,749

Given numbers has no common factors except 1. So, there LCM is their product i.e 14231

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/14231

Therefore, the GCF of Fractions 9444/19,9954/749 is 6/14231

Least Common Multiple of 19,749 with GCF Formula

Least Common Multiple of 19,749 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 19,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,749) = 1

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

GCF(19,749) x common factors =1 x 1 = 1

LCM(19,749) = ( 19 × 749 ) / 1

LCM(19,749) = 14231 / 1

LCM(19,749) = 14231


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 9444/19, 9954/749

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 9444/19, 9954/749?

Answer: GCF of Numerators as per given numbers 9444/19, 9954/749 is

GCF of Numerators i.e. for 9444,9954 is 6

LCM of denominators i.e. for 19,749 is 14231.

Thus, GCF of Fractions is 6/14231.Finally, GCF of Fractions for 9444/19, 9954/749 is 6/14231.