Greatest Common Factor of 7428/516, 4159/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7428/516, 4159/444

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 7428/516,4159/444

Given fractions are 7428/516,4159/444

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 7428,4159

Greatest Common Factor of Numerators i.e. GCF of 7428,4159 is 1 .

LCM of Denominators means LCM of 516,444 as per the given fractions.

LCM of 516,444 is 19092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7428,4159

GCF of Fractions 7428/516,4159/444 is 1/19092

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7428,4159 By Matching Biggest Common Factor Method

Greatest Common Factor of 7428,4159 By Matching Biggest Common Factor Method

Factors of 7428

List of positive integer factors of 7428 that divides 7428 without a remainder.

1,2,3,4,6,12,619,1238,1857,2476,3714,7428

Factors of 4159

List of positive integer factors of 4159 that divides 4159 without a remainder.

1,4159

Greatest Common Factor

We found the factors 7428,4159 . The biggest common factor number is the GCF number.
So the greatest common factor 7428,4159 is 1.

Lets's calculate LCM of 516,444

2 516, 444
2 258, 222
3 129, 111
43, 37

∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 37 = 19092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19092

Therefore, the GCF of Fractions 7428/516,4159/444 is 1/19092

Least Common Multiple of 516,444 with GCF Formula

Least Common Multiple of 516,444 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 516,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,444) = 12

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

GCF(516,444) x common factors =12 x 1 = 12

LCM(516,444) = ( 516 × 444 ) / 12

LCM(516,444) = 229104 / 12

LCM(516,444) = 19092


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 7428/516, 4159/444

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 7428/516, 4159/444?

Answer: GCF of Numerators as per given numbers 7428/516, 4159/444 is

GCF of Numerators i.e. for 7428,4159 is 1

LCM of denominators i.e. for 516,444 is 19092.

Thus, GCF of Fractions is 1/19092.Finally, GCF of Fractions for 7428/516, 4159/444 is 1/19092.