Greatest Common Factor of 7240/106, 4168/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7240/106, 4168/514

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 7240/106,4168/514

Given fractions are 7240/106,4168/514

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 7240,4168

Greatest Common Factor of Numerators i.e. GCF of 7240,4168 is 8 .

LCM of Denominators means LCM of 106,514 as per the given fractions.

LCM of 106,514 is 27242 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7240,4168

GCF of Fractions 7240/106,4168/514 is 8/27242

2 7240, 4168
2 3620, 2084
2 1810, 1042
905, 521

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 7240,4168 By Matching Biggest Common Factor Method

Greatest Common Factor of 7240,4168 By Matching Biggest Common Factor Method

Factors of 7240

List of positive integer factors of 7240 that divides 7240 without a remainder.

1,2,4,5,8,10,20,40,181,362,724,905,1448,1810,3620,7240

Factors of 4168

List of positive integer factors of 4168 that divides 4168 without a remainder.

1,2,4,8,521,1042,2084,4168

Greatest Common Factor

We found the factors 7240,4168 . The biggest common factor number is the GCF number.
So the greatest common factor 7240,4168 is 8.

Lets's calculate LCM of 106,514

2 106, 514
53, 257

∴ So the LCM of the given numbers is 2 x 53 x 257 = 27242

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/27242

Therefore, the GCF of Fractions 7240/106,4168/514 is 8/27242

Least Common Multiple of 106,514 with GCF Formula

Least Common Multiple of 106,514 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 106,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,514) = 2

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

GCF(106,514) x common factors =2 x 1 = 2

LCM(106,514) = ( 106 × 514 ) / 2

LCM(106,514) = 54484 / 2

LCM(106,514) = 27242


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 7240/106, 4168/514

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 7240/106, 4168/514?

Answer: GCF of Numerators as per given numbers 7240/106, 4168/514 is

GCF of Numerators i.e. for 7240,4168 is 8

LCM of denominators i.e. for 106,514 is 27242.

Thus, GCF of Fractions is 8/27242.Finally, GCF of Fractions for 7240/106, 4168/514 is 8/27242.