Greatest Common Factor of 3702/16, 2478/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3702/16, 2478/191

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 3702/16,2478/191

Given fractions are 3702/16,2478/191

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 3702,2478

Greatest Common Factor of Numerators i.e. GCF of 3702,2478 is 6 .

LCM of Denominators means LCM of 16,191 as per the given fractions.

LCM of 16,191 is 3056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3702,2478

GCF of Fractions 3702/16,2478/191 is 6/3056

2 3702, 2478
3 1851, 1239
617, 413

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3702,2478 By Matching Biggest Common Factor Method

Greatest Common Factor of 3702,2478 By Matching Biggest Common Factor Method

Factors of 3702

List of positive integer factors of 3702 that divides 3702 without a remainder.

1,2,3,6,617,1234,1851,3702

Factors of 2478

List of positive integer factors of 2478 that divides 2478 without a remainder.

1,2,3,6,7,14,21,42,59,118,177,354,413,826,1239,2478

Greatest Common Factor

We found the factors 3702,2478 . The biggest common factor number is the GCF number.
So the greatest common factor 3702,2478 is 6.

Lets's calculate LCM of 16,191

Given numbers has no common factors except 1. So, there LCM is their product i.e 3056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3056

Therefore, the GCF of Fractions 3702/16,2478/191 is 6/3056

Least Common Multiple of 16,191 with GCF Formula

Least Common Multiple of 16,191 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 16,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,191) = 1

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

GCF(16,191) x common factors =1 x 1 = 1

LCM(16,191) = ( 16 × 191 ) / 1

LCM(16,191) = 3056 / 1

LCM(16,191) = 3056


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 3702/16, 2478/191

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 3702/16, 2478/191?

Answer: GCF of Numerators as per given numbers 3702/16, 2478/191 is

GCF of Numerators i.e. for 3702,2478 is 6

LCM of denominators i.e. for 16,191 is 3056.

Thus, GCF of Fractions is 6/3056.Finally, GCF of Fractions for 3702/16, 2478/191 is 6/3056.