Greatest Common Factor of 5375/33, 9537/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5375/33, 9537/241

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 5375/33,9537/241

Given fractions are 5375/33,9537/241

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 5375,9537

Greatest Common Factor of Numerators i.e. GCF of 5375,9537 is 1 .

LCM of Denominators means LCM of 33,241 as per the given fractions.

LCM of 33,241 is 7953 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5375,9537

GCF of Fractions 5375/33,9537/241 is 1/7953

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

Greatest Common Factor of 5375,9537 By Matching Biggest Common Factor Method

Greatest Common Factor of 5375,9537 By Matching Biggest Common Factor Method

Factors of 5375

List of positive integer factors of 5375 that divides 5375 without a remainder.

1,5,25,43,125,215,1075,5375

Factors of 9537

List of positive integer factors of 9537 that divides 9537 without a remainder.

1,3,11,17,33,51,187,289,561,867,3179,9537

Greatest Common Factor

We found the factors 5375,9537 . The biggest common factor number is the GCF number.
So the greatest common factor 5375,9537 is 1.

Lets's calculate LCM of 33,241

Given numbers has no common factors except 1. So, there LCM is their product i.e 7953

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7953

Therefore, the GCF of Fractions 5375/33,9537/241 is 1/7953

Least Common Multiple of 33,241 with GCF Formula

Least Common Multiple of 33,241 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 33,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,241) = 1

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

GCF(33,241) x common factors =1 x 1 = 1

LCM(33,241) = ( 33 × 241 ) / 1

LCM(33,241) = 7953 / 1

LCM(33,241) = 7953


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 5375/33, 9537/241

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 5375/33, 9537/241?

Answer: GCF of Numerators as per given numbers 5375/33, 9537/241 is

GCF of Numerators i.e. for 5375,9537 is 1

LCM of denominators i.e. for 33,241 is 7953.

Thus, GCF of Fractions is 1/7953.Finally, GCF of Fractions for 5375/33, 9537/241 is 1/7953.