Greatest Common Factor of 3806/320, 3466/7944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3806/320, 3466/7944

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 3806/320,3466/7944

Given fractions are 3806/320,3466/7944

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 3806,3466

Greatest Common Factor of Numerators i.e. GCF of 3806,3466 is 2 .

LCM of Denominators means LCM of 320,7944 as per the given fractions.

LCM of 320,7944 is 317760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3806,3466

GCF of Fractions 3806/320,3466/7944 is 2/317760

2 3806, 3466
1903, 1733

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3806,3466 By Matching Biggest Common Factor Method

Greatest Common Factor of 3806,3466 By Matching Biggest Common Factor Method

Factors of 3806

List of positive integer factors of 3806 that divides 3806 without a remainder.

1,2,11,22,173,346,1903,3806

Factors of 3466

List of positive integer factors of 3466 that divides 3466 without a remainder.

1,2,1733,3466

Greatest Common Factor

We found the factors 3806,3466 . The biggest common factor number is the GCF number.
So the greatest common factor 3806,3466 is 2.

Lets's calculate LCM of 320,7944

2 320, 7944
2 160, 3972
2 80, 1986
40, 993

∴ So the LCM of the given numbers is 2 x 2 x 2 x 40 x 993 = 317760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/317760

Therefore, the GCF of Fractions 3806/320,3466/7944 is 2/317760

Least Common Multiple of 320,7944 with GCF Formula

Least Common Multiple of 320,7944 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 320,7944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,7944) = 8

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

GCF(320,7944) x common factors =8 x 1 = 8

LCM(320,7944) = ( 320 × 7944 ) / 8

LCM(320,7944) = 2542080 / 8

LCM(320,7944) = 317760


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 3806/320, 3466/7944

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 3806/320, 3466/7944?

Answer: GCF of Numerators as per given numbers 3806/320, 3466/7944 is

GCF of Numerators i.e. for 3806,3466 is 2

LCM of denominators i.e. for 320,7944 is 317760.

Thus, GCF of Fractions is 2/317760.Finally, GCF of Fractions for 3806/320, 3466/7944 is 2/317760.