Greatest Common Factor of 4802/96, 9966/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4802/96, 9966/600

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 4802/96,9966/600

Given fractions are 4802/96,9966/600

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 4802,9966

Greatest Common Factor of Numerators i.e. GCF of 4802,9966 is 2 .

LCM of Denominators means LCM of 96,600 as per the given fractions.

LCM of 96,600 is 2400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4802,9966

GCF of Fractions 4802/96,9966/600 is 2/2400

2 4802, 9966
2401, 4983

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

Greatest Common Factor of 4802,9966 By Matching Biggest Common Factor Method

Greatest Common Factor of 4802,9966 By Matching Biggest Common Factor Method

Factors of 4802

List of positive integer factors of 4802 that divides 4802 without a remainder.

1,2,7,14,49,98,343,686,2401,4802

Factors of 9966

List of positive integer factors of 9966 that divides 9966 without a remainder.

1,2,3,6,11,22,33,66,151,302,453,906,1661,3322,4983,9966

Greatest Common Factor

We found the factors 4802,9966 . The biggest common factor number is the GCF number.
So the greatest common factor 4802,9966 is 2.

Lets's calculate LCM of 96,600

2 96, 600
2 48, 300
2 24, 150
3 12, 75
4, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 25 = 2400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2400

Therefore, the GCF of Fractions 4802/96,9966/600 is 2/2400

Least Common Multiple of 96,600 with GCF Formula

Least Common Multiple of 96,600 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 96,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,600) = 24

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

GCF(96,600) x common factors =24 x 1 = 24

LCM(96,600) = ( 96 × 600 ) / 24

LCM(96,600) = 57600 / 24

LCM(96,600) = 2400


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4802/96, 9966/600

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 4802/96, 9966/600?

Answer: GCF of Numerators as per given numbers 4802/96, 9966/600 is

GCF of Numerators i.e. for 4802,9966 is 2

LCM of denominators i.e. for 96,600 is 2400.

Thus, GCF of Fractions is 2/2400.Finally, GCF of Fractions for 4802/96, 9966/600 is 2/2400.