Greatest Common Factor of 3853/93, 9893/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3853/93, 9893/123

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 3853/93,9893/123

Given fractions are 3853/93,9893/123

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 3853,9893

Greatest Common Factor of Numerators i.e. GCF of 3853,9893 is 1 .

LCM of Denominators means LCM of 93,123 as per the given fractions.

LCM of 93,123 is 3813 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3853,9893

GCF of Fractions 3853/93,9893/123 is 1/3813

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

Greatest Common Factor of 3853,9893 By Matching Biggest Common Factor Method

Greatest Common Factor of 3853,9893 By Matching Biggest Common Factor Method

Factors of 3853

List of positive integer factors of 3853 that divides 3853 without a remainder.

1,3853

Factors of 9893

List of positive integer factors of 9893 that divides 9893 without a remainder.

1,13,761,9893

Greatest Common Factor

We found the factors 3853,9893 . The biggest common factor number is the GCF number.
So the greatest common factor 3853,9893 is 1.

Lets's calculate LCM of 93,123

3 93, 123
31, 41

∴ So the LCM of the given numbers is 3 x 31 x 41 = 3813

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3813

Therefore, the GCF of Fractions 3853/93,9893/123 is 1/3813

Least Common Multiple of 93,123 with GCF Formula

Least Common Multiple of 93,123 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 93,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,123) = 3

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

GCF(93,123) x common factors =3 x 1 = 3

LCM(93,123) = ( 93 × 123 ) / 3

LCM(93,123) = 11439 / 3

LCM(93,123) = 3813


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 3853/93, 9893/123

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 3853/93, 9893/123?

Answer: GCF of Numerators as per given numbers 3853/93, 9893/123 is

GCF of Numerators i.e. for 3853,9893 is 1

LCM of denominators i.e. for 93,123 is 3813.

Thus, GCF of Fractions is 1/3813.Finally, GCF of Fractions for 3853/93, 9893/123 is 1/3813.