Greatest Common Factor of 3804/984, 6905/6109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3804/984, 6905/6109

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 3804/984,6905/6109

Given fractions are 3804/984,6905/6109

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 3804,6905

Greatest Common Factor of Numerators i.e. GCF of 3804,6905 is 1 .

LCM of Denominators means LCM of 984,6109 as per the given fractions.

LCM of 984,6109 is 146616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3804,6905

GCF of Fractions 3804/984,6905/6109 is 1/146616

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

Greatest Common Factor of 3804,6905 By Matching Biggest Common Factor Method

Greatest Common Factor of 3804,6905 By Matching Biggest Common Factor Method

Factors of 3804

List of positive integer factors of 3804 that divides 3804 without a remainder.

1,2,3,4,6,12,317,634,951,1268,1902,3804

Factors of 6905

List of positive integer factors of 6905 that divides 6905 without a remainder.

1,5,1381,6905

Greatest Common Factor

We found the factors 3804,6905 . The biggest common factor number is the GCF number.
So the greatest common factor 3804,6905 is 1.

Lets's calculate LCM of 984,6109

41 984, 6109
24, 149

∴ So the LCM of the given numbers is 41 x 24 x 149 = 146616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146616

Therefore, the GCF of Fractions 3804/984,6905/6109 is 1/146616

Least Common Multiple of 984,6109 with GCF Formula

Least Common Multiple of 984,6109 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 984,6109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,6109) = 41

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

GCF(984,6109) x common factors =41 x 1 = 41

LCM(984,6109) = ( 984 × 6109 ) / 41

LCM(984,6109) = 6011256 / 41

LCM(984,6109) = 146616


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 3804/984, 6905/6109

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 3804/984, 6905/6109?

Answer: GCF of Numerators as per given numbers 3804/984, 6905/6109 is

GCF of Numerators i.e. for 3804,6905 is 1

LCM of denominators i.e. for 984,6109 is 146616.

Thus, GCF of Fractions is 1/146616.Finally, GCF of Fractions for 3804/984, 6905/6109 is 1/146616.