Greatest Common Factor of 4944/239, 8946/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4944/239, 8946/448

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 4944/239,8946/448

Given fractions are 4944/239,8946/448

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 4944,8946

Greatest Common Factor of Numerators i.e. GCF of 4944,8946 is 6 .

LCM of Denominators means LCM of 239,448 as per the given fractions.

LCM of 239,448 is 107072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4944,8946

GCF of Fractions 4944/239,8946/448 is 6/107072

2 4944, 8946
3 2472, 4473
824, 1491

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

Greatest Common Factor of 4944,8946 By Matching Biggest Common Factor Method

Greatest Common Factor of 4944,8946 By Matching Biggest Common Factor Method

Factors of 4944

List of positive integer factors of 4944 that divides 4944 without a remainder.

1,2,3,4,6,8,12,16,24,48,103,206,309,412,618,824,1236,1648,2472,4944

Factors of 8946

List of positive integer factors of 8946 that divides 8946 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,71,126,142,213,426,497,639,994,1278,1491,2982,4473,8946

Greatest Common Factor

We found the factors 4944,8946 . The biggest common factor number is the GCF number.
So the greatest common factor 4944,8946 is 6.

Lets's calculate LCM of 239,448

Given numbers has no common factors except 1. So, there LCM is their product i.e 107072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/107072

Therefore, the GCF of Fractions 4944/239,8946/448 is 6/107072

Least Common Multiple of 239,448 with GCF Formula

Least Common Multiple of 239,448 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 239,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,448) = 1

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

GCF(239,448) x common factors =1 x 1 = 1

LCM(239,448) = ( 239 × 448 ) / 1

LCM(239,448) = 107072 / 1

LCM(239,448) = 107072


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 4944/239, 8946/448

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 4944/239, 8946/448?

Answer: GCF of Numerators as per given numbers 4944/239, 8946/448 is

GCF of Numerators i.e. for 4944,8946 is 6

LCM of denominators i.e. for 239,448 is 107072.

Thus, GCF of Fractions is 6/107072.Finally, GCF of Fractions for 4944/239, 8946/448 is 6/107072.