Greatest Common Factor of 5734/381, 7917/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5734/381, 7917/481

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 5734/381,7917/481

Given fractions are 5734/381,7917/481

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 5734,7917

Greatest Common Factor of Numerators i.e. GCF of 5734,7917 is 1 .

LCM of Denominators means LCM of 381,481 as per the given fractions.

LCM of 381,481 is 183261 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5734,7917

GCF of Fractions 5734/381,7917/481 is 1/183261

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

Greatest Common Factor of 5734,7917 By Matching Biggest Common Factor Method

Greatest Common Factor of 5734,7917 By Matching Biggest Common Factor Method

Factors of 5734

List of positive integer factors of 5734 that divides 5734 without a remainder.

1,2,47,61,94,122,2867,5734

Factors of 7917

List of positive integer factors of 7917 that divides 7917 without a remainder.

1,3,7,13,21,29,39,87,91,203,273,377,609,1131,2639,7917

Greatest Common Factor

We found the factors 5734,7917 . The biggest common factor number is the GCF number.
So the greatest common factor 5734,7917 is 1.

Lets's calculate LCM of 381,481

Given numbers has no common factors except 1. So, there LCM is their product i.e 183261

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183261

Therefore, the GCF of Fractions 5734/381,7917/481 is 1/183261

Least Common Multiple of 381,481 with GCF Formula

Least Common Multiple of 381,481 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 381,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,481) = 1

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

GCF(381,481) x common factors =1 x 1 = 1

LCM(381,481) = ( 381 × 481 ) / 1

LCM(381,481) = 183261 / 1

LCM(381,481) = 183261


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 5734/381, 7917/481

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 5734/381, 7917/481?

Answer: GCF of Numerators as per given numbers 5734/381, 7917/481 is

GCF of Numerators i.e. for 5734,7917 is 1

LCM of denominators i.e. for 381,481 is 183261.

Thus, GCF of Fractions is 1/183261.Finally, GCF of Fractions for 5734/381, 7917/481 is 1/183261.