Greatest Common Factor of 4381/788, 9783/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 4381/788, 9783/345

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 4381/788,9783/345

Given fractions are 4381/788,9783/345

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 4381,9783

Greatest Common Factor of Numerators i.e. GCF of 4381,9783 is 1 .

LCM of Denominators means LCM of 788,345 as per the given fractions.

LCM of 788,345 is 271860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4381,9783

GCF of Fractions 4381/788,9783/345 is 1/271860

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

Greatest Common Factor of 4381,9783 By Matching Biggest Common Factor Method

Greatest Common Factor of 4381,9783 By Matching Biggest Common Factor Method

Factors of 4381

List of positive integer factors of 4381 that divides 4381 without a remainder.

1,13,337,4381

Factors of 9783

List of positive integer factors of 9783 that divides 9783 without a remainder.

1,3,9,1087,3261,9783

Greatest Common Factor

We found the factors 4381,9783 . The biggest common factor number is the GCF number.
So the greatest common factor 4381,9783 is 1.


Lets's calculate LCM of 788,345

Given numbers has no common factors except 1. So, there LCM is their product i.e 271860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271860

Therefore, the GCF of Fractions 4381/788,9783/345 is 1/271860

Least Common Multiple of 788,345 with GCF Formula

Least Common Multiple of 788,345 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 788,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,345) = 1

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

GCF(788,345) x common factors =1 x 1 = 1

LCM(788,345) = ( 788 × 345 ) / 1

LCM(788,345) = 271860 / 1

LCM(788,345) = 271860


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 4381/788, 9783/345

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 4381/788, 9783/345?

Answer: GCF of Numerators as per given numbers 4381/788, 9783/345 is

GCF of Numerators i.e. for 4381,9783 is 1

LCM of denominators i.e. for 788,345 is 271860.

Thus, GCF of Fractions is 1/271860.Finally, GCF of Fractions for 4381/788, 9783/345 is 1/271860.