Greatest Common Factor of 8109/396, 4703/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8109/396, 4703/976

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 8109/396,4703/976

Given fractions are 8109/396,4703/976

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 8109,4703

Greatest Common Factor of Numerators i.e. GCF of 8109,4703 is 1 .

LCM of Denominators means LCM of 396,976 as per the given fractions.

LCM of 396,976 is 96624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8109,4703

GCF of Fractions 8109/396,4703/976 is 1/96624

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

Greatest Common Factor of 8109,4703 By Matching Biggest Common Factor Method

Greatest Common Factor of 8109,4703 By Matching Biggest Common Factor Method

Factors of 8109

List of positive integer factors of 8109 that divides 8109 without a remainder.

1,3,9,17,51,53,153,159,477,901,2703,8109

Factors of 4703

List of positive integer factors of 4703 that divides 4703 without a remainder.

1,4703

Greatest Common Factor

We found the factors 8109,4703 . The biggest common factor number is the GCF number.
So the greatest common factor 8109,4703 is 1.

Lets's calculate LCM of 396,976

2 396, 976
2 198, 488
99, 244

∴ So the LCM of the given numbers is 2 x 2 x 99 x 244 = 96624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96624

Therefore, the GCF of Fractions 8109/396,4703/976 is 1/96624

Least Common Multiple of 396,976 with GCF Formula

Least Common Multiple of 396,976 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 396,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,976) = 4

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

GCF(396,976) x common factors =4 x 1 = 4

LCM(396,976) = ( 396 × 976 ) / 4

LCM(396,976) = 386496 / 4

LCM(396,976) = 96624


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 8109/396, 4703/976

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 8109/396, 4703/976?

Answer: GCF of Numerators as per given numbers 8109/396, 4703/976 is

GCF of Numerators i.e. for 8109,4703 is 1

LCM of denominators i.e. for 396,976 is 96624.

Thus, GCF of Fractions is 1/96624.Finally, GCF of Fractions for 8109/396, 4703/976 is 1/96624.