Greatest Common Factor of 2248/44, 9992/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2248/44, 9992/703

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 2248/44,9992/703

Given fractions are 2248/44,9992/703

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 2248,9992

Greatest Common Factor of Numerators i.e. GCF of 2248,9992 is 8 .

LCM of Denominators means LCM of 44,703 as per the given fractions.

LCM of 44,703 is 30932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2248,9992

GCF of Fractions 2248/44,9992/703 is 8/30932

2 2248, 9992
2 1124, 4996
2 562, 2498
281, 1249

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2248,9992 By Matching Biggest Common Factor Method

Greatest Common Factor of 2248,9992 By Matching Biggest Common Factor Method

Factors of 2248

List of positive integer factors of 2248 that divides 2248 without a remainder.

1,2,4,8,281,562,1124,2248

Factors of 9992

List of positive integer factors of 9992 that divides 9992 without a remainder.

1,2,4,8,1249,2498,4996,9992

Greatest Common Factor

We found the factors 2248,9992 . The biggest common factor number is the GCF number.
So the greatest common factor 2248,9992 is 8.

Lets's calculate LCM of 44,703

Given numbers has no common factors except 1. So, there LCM is their product i.e 30932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/30932

Therefore, the GCF of Fractions 2248/44,9992/703 is 8/30932

Least Common Multiple of 44,703 with GCF Formula

Least Common Multiple of 44,703 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 44,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,703) = 1

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

GCF(44,703) x common factors =1 x 1 = 1

LCM(44,703) = ( 44 × 703 ) / 1

LCM(44,703) = 30932 / 1

LCM(44,703) = 30932


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 2248/44, 9992/703

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 2248/44, 9992/703?

Answer: GCF of Numerators as per given numbers 2248/44, 9992/703 is

GCF of Numerators i.e. for 2248,9992 is 8

LCM of denominators i.e. for 44,703 is 30932.

Thus, GCF of Fractions is 8/30932.Finally, GCF of Fractions for 2248/44, 9992/703 is 8/30932.