Greatest Common Factor of 7820/360, 4333/3723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7820/360, 4333/3723

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 7820/360,4333/3723

Given fractions are 7820/360,4333/3723

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 7820,4333

Greatest Common Factor of Numerators i.e. GCF of 7820,4333 is 1 .

LCM of Denominators means LCM of 360,3723 as per the given fractions.

LCM of 360,3723 is 446760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7820,4333

GCF of Fractions 7820/360,4333/3723 is 1/446760

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

Greatest Common Factor of 7820,4333 By Matching Biggest Common Factor Method

Greatest Common Factor of 7820,4333 By Matching Biggest Common Factor Method

Factors of 7820

List of positive integer factors of 7820 that divides 7820 without a remainder.

1,2,4,5,10,17,20,23,34,46,68,85,92,115,170,230,340,391,460,782,1564,1955,3910,7820

Factors of 4333

List of positive integer factors of 4333 that divides 4333 without a remainder.

1,7,619,4333

Greatest Common Factor

We found the factors 7820,4333 . The biggest common factor number is the GCF number.
So the greatest common factor 7820,4333 is 1.

Lets's calculate LCM of 360,3723

3 360, 3723
120, 1241

∴ So the LCM of the given numbers is 3 x 120 x 1241 = 446760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/446760

Therefore, the GCF of Fractions 7820/360,4333/3723 is 1/446760

Least Common Multiple of 360,3723 with GCF Formula

Least Common Multiple of 360,3723 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 360,3723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,3723) = 3

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

GCF(360,3723) x common factors =3 x 1 = 3

LCM(360,3723) = ( 360 × 3723 ) / 3

LCM(360,3723) = 1340280 / 3

LCM(360,3723) = 446760


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 7820/360, 4333/3723

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 7820/360, 4333/3723?

Answer: GCF of Numerators as per given numbers 7820/360, 4333/3723 is

GCF of Numerators i.e. for 7820,4333 is 1

LCM of denominators i.e. for 360,3723 is 446760.

Thus, GCF of Fractions is 1/446760.Finally, GCF of Fractions for 7820/360, 4333/3723 is 1/446760.