Greatest Common Factor of 5736/103, 9271/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5736/103, 9271/140

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 5736/103,9271/140

Given fractions are 5736/103,9271/140

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 5736,9271

Greatest Common Factor of Numerators i.e. GCF of 5736,9271 is 1 .

LCM of Denominators means LCM of 103,140 as per the given fractions.

LCM of 103,140 is 14420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5736,9271

GCF of Fractions 5736/103,9271/140 is 1/14420

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

Greatest Common Factor of 5736,9271 By Matching Biggest Common Factor Method

Greatest Common Factor of 5736,9271 By Matching Biggest Common Factor Method

Factors of 5736

List of positive integer factors of 5736 that divides 5736 without a remainder.

1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736

Factors of 9271

List of positive integer factors of 9271 that divides 9271 without a remainder.

1,73,127,9271

Greatest Common Factor

We found the factors 5736,9271 . The biggest common factor number is the GCF number.
So the greatest common factor 5736,9271 is 1.

Lets's calculate LCM of 103,140

Given numbers has no common factors except 1. So, there LCM is their product i.e 14420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14420

Therefore, the GCF of Fractions 5736/103,9271/140 is 1/14420

Least Common Multiple of 103,140 with GCF Formula

Least Common Multiple of 103,140 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 103,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,140) = 1

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

GCF(103,140) x common factors =1 x 1 = 1

LCM(103,140) = ( 103 × 140 ) / 1

LCM(103,140) = 14420 / 1

LCM(103,140) = 14420


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 5736/103, 9271/140

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 5736/103, 9271/140?

Answer: GCF of Numerators as per given numbers 5736/103, 9271/140 is

GCF of Numerators i.e. for 5736,9271 is 1

LCM of denominators i.e. for 103,140 is 14420.

Thus, GCF of Fractions is 1/14420.Finally, GCF of Fractions for 5736/103, 9271/140 is 1/14420.