Greatest Common Factor of 3824/11, 3906/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3824/11, 3906/736

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 3824/11,3906/736

Given fractions are 3824/11,3906/736

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 3824,3906

Greatest Common Factor of Numerators i.e. GCF of 3824,3906 is 2 .

LCM of Denominators means LCM of 11,736 as per the given fractions.

LCM of 11,736 is 8096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3824,3906

GCF of Fractions 3824/11,3906/736 is 2/8096

2 3824, 3906
1912, 1953

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

Greatest Common Factor of 3824,3906 By Matching Biggest Common Factor Method

Greatest Common Factor of 3824,3906 By Matching Biggest Common Factor Method

Factors of 3824

List of positive integer factors of 3824 that divides 3824 without a remainder.

1,2,4,8,16,239,478,956,1912,3824

Factors of 3906

List of positive integer factors of 3906 that divides 3906 without a remainder.

1,2,3,6,7,9,14,18,21,31,42,62,63,93,126,186,217,279,434,558,651,1302,1953,3906

Greatest Common Factor

We found the factors 3824,3906 . The biggest common factor number is the GCF number.
So the greatest common factor 3824,3906 is 2.

Lets's calculate LCM of 11,736

Given numbers has no common factors except 1. So, there LCM is their product i.e 8096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8096

Therefore, the GCF of Fractions 3824/11,3906/736 is 2/8096

Least Common Multiple of 11,736 with GCF Formula

Least Common Multiple of 11,736 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 11,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,736) = 1

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

GCF(11,736) x common factors =1 x 1 = 1

LCM(11,736) = ( 11 × 736 ) / 1

LCM(11,736) = 8096 / 1

LCM(11,736) = 8096


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 3824/11, 3906/736

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 3824/11, 3906/736?

Answer: GCF of Numerators as per given numbers 3824/11, 3906/736 is

GCF of Numerators i.e. for 3824,3906 is 2

LCM of denominators i.e. for 11,736 is 8096.

Thus, GCF of Fractions is 2/8096.Finally, GCF of Fractions for 3824/11, 3906/736 is 2/8096.