Greatest Common Factor of 3789/13, 7745/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3789/13, 7745/816

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 3789/13,7745/816

Given fractions are 3789/13,7745/816

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 3789,7745

Greatest Common Factor of Numerators i.e. GCF of 3789,7745 is 1 .

LCM of Denominators means LCM of 13,816 as per the given fractions.

LCM of 13,816 is 10608 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3789,7745

GCF of Fractions 3789/13,7745/816 is 1/10608

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3789,7745 By Matching Biggest Common Factor Method

Greatest Common Factor of 3789,7745 By Matching Biggest Common Factor Method

Factors of 3789

List of positive integer factors of 3789 that divides 3789 without a remainder.

1,3,9,421,1263,3789

Factors of 7745

List of positive integer factors of 7745 that divides 7745 without a remainder.

1,5,1549,7745

Greatest Common Factor

We found the factors 3789,7745 . The biggest common factor number is the GCF number.
So the greatest common factor 3789,7745 is 1.

Lets's calculate LCM of 13,816

Given numbers has no common factors except 1. So, there LCM is their product i.e 10608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10608

Therefore, the GCF of Fractions 3789/13,7745/816 is 1/10608

Least Common Multiple of 13,816 with GCF Formula

Least Common Multiple of 13,816 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 13,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,816) = 1

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

GCF(13,816) x common factors =1 x 1 = 1

LCM(13,816) = ( 13 × 816 ) / 1

LCM(13,816) = 10608 / 1

LCM(13,816) = 10608


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 3789/13, 7745/816

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 3789/13, 7745/816?

Answer: GCF of Numerators as per given numbers 3789/13, 7745/816 is

GCF of Numerators i.e. for 3789,7745 is 1

LCM of denominators i.e. for 13,816 is 10608.

Thus, GCF of Fractions is 1/10608.Finally, GCF of Fractions for 3789/13, 7745/816 is 1/10608.