Greatest Common Factor of 3736/524, 3782/8113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3736/524, 3782/8113

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 3736/524,3782/8113

Given fractions are 3736/524,3782/8113

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 3736,3782

Greatest Common Factor of Numerators i.e. GCF of 3736,3782 is 2 .

LCM of Denominators means LCM of 524,8113 as per the given fractions.

LCM of 524,8113 is 4251212 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3736,3782

GCF of Fractions 3736/524,3782/8113 is 2/4251212

2 3736, 3782
1868, 1891

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

Greatest Common Factor of 3736,3782 By Matching Biggest Common Factor Method

Greatest Common Factor of 3736,3782 By Matching Biggest Common Factor Method

Factors of 3736

List of positive integer factors of 3736 that divides 3736 without a remainder.

1,2,4,8,467,934,1868,3736

Factors of 3782

List of positive integer factors of 3782 that divides 3782 without a remainder.

1,2,31,61,62,122,1891,3782

Greatest Common Factor

We found the factors 3736,3782 . The biggest common factor number is the GCF number.
So the greatest common factor 3736,3782 is 2.

Lets's calculate LCM of 524,8113

Given numbers has no common factors except 1. So, there LCM is their product i.e 4251212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4251212

Therefore, the GCF of Fractions 3736/524,3782/8113 is 2/4251212

Least Common Multiple of 524,8113 with GCF Formula

Least Common Multiple of 524,8113 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 524,8113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,8113) = 1

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

GCF(524,8113) x common factors =1 x 1 = 1

LCM(524,8113) = ( 524 × 8113 ) / 1

LCM(524,8113) = 4251212 / 1

LCM(524,8113) = 4251212


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 3736/524, 3782/8113

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 3736/524, 3782/8113?

Answer: GCF of Numerators as per given numbers 3736/524, 3782/8113 is

GCF of Numerators i.e. for 3736,3782 is 2

LCM of denominators i.e. for 524,8113 is 4251212.

Thus, GCF of Fractions is 2/4251212.Finally, GCF of Fractions for 3736/524, 3782/8113 is 2/4251212.