Greatest Common Factor of 8330/727, 3760/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8330/727, 3760/972

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 8330/727,3760/972

Given fractions are 8330/727,3760/972

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 8330,3760

Greatest Common Factor of Numerators i.e. GCF of 8330,3760 is 10 .

LCM of Denominators means LCM of 727,972 as per the given fractions.

LCM of 727,972 is 706644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8330,3760

GCF of Fractions 8330/727,3760/972 is 10/706644

2 8330, 3760
5 4165, 1880
833, 376

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 8330,3760 By Matching Biggest Common Factor Method

Greatest Common Factor of 8330,3760 By Matching Biggest Common Factor Method

Factors of 8330

List of positive integer factors of 8330 that divides 8330 without a remainder.

1,2,5,7,10,14,17,34,35,49,70,85,98,119,170,238,245,490,595,833,1190,1666,4165,8330

Factors of 3760

List of positive integer factors of 3760 that divides 3760 without a remainder.

1,2,4,5,8,10,16,20,40,47,80,94,188,235,376,470,752,940,1880,3760

Greatest Common Factor

We found the factors 8330,3760 . The biggest common factor number is the GCF number.
So the greatest common factor 8330,3760 is 10.

Lets's calculate LCM of 727,972

Given numbers has no common factors except 1. So, there LCM is their product i.e 706644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/706644

Therefore, the GCF of Fractions 8330/727,3760/972 is 10/706644

Least Common Multiple of 727,972 with GCF Formula

Least Common Multiple of 727,972 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 727,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,972) = 1

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

GCF(727,972) x common factors =1 x 1 = 1

LCM(727,972) = ( 727 × 972 ) / 1

LCM(727,972) = 706644 / 1

LCM(727,972) = 706644


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 8330/727, 3760/972

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 8330/727, 3760/972?

Answer: GCF of Numerators as per given numbers 8330/727, 3760/972 is

GCF of Numerators i.e. for 8330,3760 is 10

LCM of denominators i.e. for 727,972 is 706644.

Thus, GCF of Fractions is 10/706644.Finally, GCF of Fractions for 8330/727, 3760/972 is 10/706644.