Greatest Common Factor of 48/724, 8824/4946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/724, 8824/4946

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 48/724,8824/4946

Given fractions are 48/724,8824/4946

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 48,8824

Greatest Common Factor of Numerators i.e. GCF of 48,8824 is 8 .

LCM of Denominators means LCM of 724,4946 as per the given fractions.

LCM of 724,4946 is 1790452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,8824

GCF of Fractions 48/724,8824/4946 is 8/1790452

2 48, 8824
2 24, 4412
2 12, 2206
6, 1103

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

Greatest Common Factor of 48,8824 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,8824 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 8824

List of positive integer factors of 8824 that divides 8824 without a remainder.

1,2,4,8,1103,2206,4412,8824

Greatest Common Factor

We found the factors 48,8824 . The biggest common factor number is the GCF number.
So the greatest common factor 48,8824 is 8.

Lets's calculate LCM of 724,4946

2 724, 4946
362, 2473

∴ So the LCM of the given numbers is 2 x 362 x 2473 = 1790452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1790452

Therefore, the GCF of Fractions 48/724,8824/4946 is 8/1790452

Least Common Multiple of 724,4946 with GCF Formula

Least Common Multiple of 724,4946 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 724,4946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,4946) = 2

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

GCF(724,4946) x common factors =2 x 1 = 2

LCM(724,4946) = ( 724 × 4946 ) / 2

LCM(724,4946) = 3580904 / 2

LCM(724,4946) = 1790452


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 48/724, 8824/4946

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 48/724, 8824/4946?

Answer: GCF of Numerators as per given numbers 48/724, 8824/4946 is

GCF of Numerators i.e. for 48,8824 is 8

LCM of denominators i.e. for 724,4946 is 1790452.

Thus, GCF of Fractions is 8/1790452.Finally, GCF of Fractions for 48/724, 8824/4946 is 8/1790452.