Greatest Common Factor of 4164/10, 7346/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4164/10, 7346/516

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 4164/10,7346/516

Given fractions are 4164/10,7346/516

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 4164,7346

Greatest Common Factor of Numerators i.e. GCF of 4164,7346 is 2 .

LCM of Denominators means LCM of 10,516 as per the given fractions.

LCM of 10,516 is 2580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4164,7346

GCF of Fractions 4164/10,7346/516 is 2/2580

2 4164, 7346
2082, 3673

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

Greatest Common Factor of 4164,7346 By Matching Biggest Common Factor Method

Greatest Common Factor of 4164,7346 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 7346

List of positive integer factors of 7346 that divides 7346 without a remainder.

1,2,3673,7346

Greatest Common Factor

We found the factors 4164,7346 . The biggest common factor number is the GCF number.
So the greatest common factor 4164,7346 is 2.

Lets's calculate LCM of 10,516

2 10, 516
5, 258

∴ So the LCM of the given numbers is 2 x 5 x 258 = 2580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2580

Therefore, the GCF of Fractions 4164/10,7346/516 is 2/2580

Least Common Multiple of 10,516 with GCF Formula

Least Common Multiple of 10,516 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 10,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,516) = 2

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

GCF(10,516) x common factors =2 x 1 = 2

LCM(10,516) = ( 10 × 516 ) / 2

LCM(10,516) = 5160 / 2

LCM(10,516) = 2580


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 4164/10, 7346/516

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 4164/10, 7346/516?

Answer: GCF of Numerators as per given numbers 4164/10, 7346/516 is

GCF of Numerators i.e. for 4164,7346 is 2

LCM of denominators i.e. for 10,516 is 2580.

Thus, GCF of Fractions is 2/2580.Finally, GCF of Fractions for 4164/10, 7346/516 is 2/2580.