Greatest Common Factor of 4764/288, 9654/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4764/288, 9654/622

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 4764/288,9654/622

Given fractions are 4764/288,9654/622

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 4764,9654

Greatest Common Factor of Numerators i.e. GCF of 4764,9654 is 6 .

LCM of Denominators means LCM of 288,622 as per the given fractions.

LCM of 288,622 is 89568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4764,9654

GCF of Fractions 4764/288,9654/622 is 6/89568

2 4764, 9654
3 2382, 4827
794, 1609

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

Greatest Common Factor of 4764,9654 By Matching Biggest Common Factor Method

Greatest Common Factor of 4764,9654 By Matching Biggest Common Factor Method

Factors of 4764

List of positive integer factors of 4764 that divides 4764 without a remainder.

1,2,3,4,6,12,397,794,1191,1588,2382,4764

Factors of 9654

List of positive integer factors of 9654 that divides 9654 without a remainder.

1,2,3,6,1609,3218,4827,9654

Greatest Common Factor

We found the factors 4764,9654 . The biggest common factor number is the GCF number.
So the greatest common factor 4764,9654 is 6.

Lets's calculate LCM of 288,622

2 288, 622
144, 311

∴ So the LCM of the given numbers is 2 x 144 x 311 = 89568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/89568

Therefore, the GCF of Fractions 4764/288,9654/622 is 6/89568

Least Common Multiple of 288,622 with GCF Formula

Least Common Multiple of 288,622 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 288,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,622) = 2

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

GCF(288,622) x common factors =2 x 1 = 2

LCM(288,622) = ( 288 × 622 ) / 2

LCM(288,622) = 179136 / 2

LCM(288,622) = 89568


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 4764/288, 9654/622

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 4764/288, 9654/622?

Answer: GCF of Numerators as per given numbers 4764/288, 9654/622 is

GCF of Numerators i.e. for 4764,9654 is 6

LCM of denominators i.e. for 288,622 is 89568.

Thus, GCF of Fractions is 6/89568.Finally, GCF of Fractions for 4764/288, 9654/622 is 6/89568.