Greatest Common Factor of 9737/381, 5442/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9737/381, 5442/783

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 9737/381,5442/783

Given fractions are 9737/381,5442/783

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 9737,5442

Greatest Common Factor of Numerators i.e. GCF of 9737,5442 is 1 .

LCM of Denominators means LCM of 381,783 as per the given fractions.

LCM of 381,783 is 99441 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9737,5442

GCF of Fractions 9737/381,5442/783 is 1/99441

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

Greatest Common Factor of 9737,5442 By Matching Biggest Common Factor Method

Greatest Common Factor of 9737,5442 By Matching Biggest Common Factor Method

Factors of 9737

List of positive integer factors of 9737 that divides 9737 without a remainder.

1,7,13,91,107,749,1391,9737

Factors of 5442

List of positive integer factors of 5442 that divides 5442 without a remainder.

1,2,3,6,907,1814,2721,5442

Greatest Common Factor

We found the factors 9737,5442 . The biggest common factor number is the GCF number.
So the greatest common factor 9737,5442 is 1.

Lets's calculate LCM of 381,783

3 381, 783
127, 261

∴ So the LCM of the given numbers is 3 x 127 x 261 = 99441

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99441

Therefore, the GCF of Fractions 9737/381,5442/783 is 1/99441

Least Common Multiple of 381,783 with GCF Formula

Least Common Multiple of 381,783 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 381,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,783) = 3

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

GCF(381,783) x common factors =3 x 1 = 3

LCM(381,783) = ( 381 × 783 ) / 3

LCM(381,783) = 298323 / 3

LCM(381,783) = 99441


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 9737/381, 5442/783

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 9737/381, 5442/783?

Answer: GCF of Numerators as per given numbers 9737/381, 5442/783 is

GCF of Numerators i.e. for 9737,5442 is 1

LCM of denominators i.e. for 381,783 is 99441.

Thus, GCF of Fractions is 1/99441.Finally, GCF of Fractions for 9737/381, 5442/783 is 1/99441.