Greatest Common Factor of 1893/391, 7944/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1893/391, 7944/703

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 1893/391,7944/703

Given fractions are 1893/391,7944/703

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 1893,7944

Greatest Common Factor of Numerators i.e. GCF of 1893,7944 is 3 .

LCM of Denominators means LCM of 391,703 as per the given fractions.

LCM of 391,703 is 274873 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1893,7944

GCF of Fractions 1893/391,7944/703 is 3/274873

3 1893, 7944
631, 2648

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1893,7944 By Matching Biggest Common Factor Method

Greatest Common Factor of 1893,7944 By Matching Biggest Common Factor Method

Factors of 1893

List of positive integer factors of 1893 that divides 1893 without a remainder.

1,3,631,1893

Factors of 7944

List of positive integer factors of 7944 that divides 7944 without a remainder.

1,2,3,4,6,8,12,24,331,662,993,1324,1986,2648,3972,7944

Greatest Common Factor

We found the factors 1893,7944 . The biggest common factor number is the GCF number.
So the greatest common factor 1893,7944 is 3.

Lets's calculate LCM of 391,703

Given numbers has no common factors except 1. So, there LCM is their product i.e 274873

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/274873

Therefore, the GCF of Fractions 1893/391,7944/703 is 3/274873

Least Common Multiple of 391,703 with GCF Formula

Least Common Multiple of 391,703 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 391,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,703) = 1

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

GCF(391,703) x common factors =1 x 1 = 1

LCM(391,703) = ( 391 × 703 ) / 1

LCM(391,703) = 274873 / 1

LCM(391,703) = 274873


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 1893/391, 7944/703

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 1893/391, 7944/703?

Answer: GCF of Numerators as per given numbers 1893/391, 7944/703 is

GCF of Numerators i.e. for 1893,7944 is 3

LCM of denominators i.e. for 391,703 is 274873.

Thus, GCF of Fractions is 3/274873.Finally, GCF of Fractions for 1893/391, 7944/703 is 3/274873.