Greatest Common Factor of 4164/51, 3279/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4164/51, 3279/522

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 4164/51,3279/522

Given fractions are 4164/51,3279/522

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 4164,3279

Greatest Common Factor of Numerators i.e. GCF of 4164,3279 is 3 .

LCM of Denominators means LCM of 51,522 as per the given fractions.

LCM of 51,522 is 8874 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4164,3279

GCF of Fractions 4164/51,3279/522 is 3/8874

3 4164, 3279
1388, 1093

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4164,3279 By Matching Biggest Common Factor Method

Greatest Common Factor of 4164,3279 By Matching Biggest Common Factor Method

Factors of 4164

List of positive integer factors of 4164 that divides 4164 without a remainder.

1,2,3,4,6,12,347,694,1041,1388,2082,4164

Factors of 3279

List of positive integer factors of 3279 that divides 3279 without a remainder.

1,3,1093,3279

Greatest Common Factor

We found the factors 4164,3279 . The biggest common factor number is the GCF number.
So the greatest common factor 4164,3279 is 3.

Lets's calculate LCM of 51,522

3 51, 522
17, 174

∴ So the LCM of the given numbers is 3 x 17 x 174 = 8874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8874

Therefore, the GCF of Fractions 4164/51,3279/522 is 3/8874

Least Common Multiple of 51,522 with GCF Formula

Least Common Multiple of 51,522 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 51,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,522) = 3

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

GCF(51,522) x common factors =3 x 1 = 3

LCM(51,522) = ( 51 × 522 ) / 3

LCM(51,522) = 26622 / 3

LCM(51,522) = 8874


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 4164/51, 3279/522

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 4164/51, 3279/522?

Answer: GCF of Numerators as per given numbers 4164/51, 3279/522 is

GCF of Numerators i.e. for 4164,3279 is 3

LCM of denominators i.e. for 51,522 is 8874.

Thus, GCF of Fractions is 3/8874.Finally, GCF of Fractions for 4164/51, 3279/522 is 3/8874.