Greatest Common Factor of 4764/18, 3312/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4764/18, 3312/826

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 4764/18,3312/826

Given fractions are 4764/18,3312/826

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 4764,3312

Greatest Common Factor of Numerators i.e. GCF of 4764,3312 is 12 .

LCM of Denominators means LCM of 18,826 as per the given fractions.

LCM of 18,826 is 7434 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4764,3312

GCF of Fractions 4764/18,3312/826 is 12/7434

2 4764, 3312
2 2382, 1656
3 1191, 828
397, 276

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 4764,3312 By Matching Biggest Common Factor Method

Greatest Common Factor of 4764,3312 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 3312

List of positive integer factors of 3312 that divides 3312 without a remainder.

1,2,3,4,6,8,9,12,16,18,23,24,36,46,48,69,72,92,138,144,184,207,276,368,414,552,828,1104,1656,3312

Greatest Common Factor

We found the factors 4764,3312 . The biggest common factor number is the GCF number.
So the greatest common factor 4764,3312 is 12.

Lets's calculate LCM of 18,826

2 18, 826
9, 413

∴ So the LCM of the given numbers is 2 x 9 x 413 = 7434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/7434

Therefore, the GCF of Fractions 4764/18,3312/826 is 12/7434

Least Common Multiple of 18,826 with GCF Formula

Least Common Multiple of 18,826 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 18,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,826) = 2

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

GCF(18,826) x common factors =2 x 1 = 2

LCM(18,826) = ( 18 × 826 ) / 2

LCM(18,826) = 14868 / 2

LCM(18,826) = 7434


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 4764/18, 3312/826

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 4764/18, 3312/826?

Answer: GCF of Numerators as per given numbers 4764/18, 3312/826 is

GCF of Numerators i.e. for 4764,3312 is 12

LCM of denominators i.e. for 18,826 is 7434.

Thus, GCF of Fractions is 12/7434.Finally, GCF of Fractions for 4764/18, 3312/826 is 12/7434.