Greatest Common Factor of 4854/14, 3708/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4854/14, 3708/377

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 4854/14,3708/377

Given fractions are 4854/14,3708/377

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 4854,3708

Greatest Common Factor of Numerators i.e. GCF of 4854,3708 is 6 .

LCM of Denominators means LCM of 14,377 as per the given fractions.

LCM of 14,377 is 5278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4854,3708

GCF of Fractions 4854/14,3708/377 is 6/5278

2 4854, 3708
3 2427, 1854
809, 618

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

Greatest Common Factor of 4854,3708 By Matching Biggest Common Factor Method

Greatest Common Factor of 4854,3708 By Matching Biggest Common Factor Method

Factors of 4854

List of positive integer factors of 4854 that divides 4854 without a remainder.

1,2,3,6,809,1618,2427,4854

Factors of 3708

List of positive integer factors of 3708 that divides 3708 without a remainder.

1,2,3,4,6,9,12,18,36,103,206,309,412,618,927,1236,1854,3708

Greatest Common Factor

We found the factors 4854,3708 . The biggest common factor number is the GCF number.
So the greatest common factor 4854,3708 is 6.

Lets's calculate LCM of 14,377

Given numbers has no common factors except 1. So, there LCM is their product i.e 5278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5278

Therefore, the GCF of Fractions 4854/14,3708/377 is 6/5278

Least Common Multiple of 14,377 with GCF Formula

Least Common Multiple of 14,377 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 14,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,377) = 1

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

GCF(14,377) x common factors =1 x 1 = 1

LCM(14,377) = ( 14 × 377 ) / 1

LCM(14,377) = 5278 / 1

LCM(14,377) = 5278


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 4854/14, 3708/377

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 4854/14, 3708/377?

Answer: GCF of Numerators as per given numbers 4854/14, 3708/377 is

GCF of Numerators i.e. for 4854,3708 is 6

LCM of denominators i.e. for 14,377 is 5278.

Thus, GCF of Fractions is 6/5278.Finally, GCF of Fractions for 4854/14, 3708/377 is 6/5278.