Greatest Common Factor of 9151/33, 5143/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9151/33, 5143/507

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 9151/33,5143/507

Given fractions are 9151/33,5143/507

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 9151,5143

Greatest Common Factor of Numerators i.e. GCF of 9151,5143 is 1 .

LCM of Denominators means LCM of 33,507 as per the given fractions.

LCM of 33,507 is 5577 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9151,5143

GCF of Fractions 9151/33,5143/507 is 1/5577

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

Greatest Common Factor of 9151,5143 By Matching Biggest Common Factor Method

Greatest Common Factor of 9151,5143 By Matching Biggest Common Factor Method

Factors of 9151

List of positive integer factors of 9151 that divides 9151 without a remainder.

1,9151

Factors of 5143

List of positive integer factors of 5143 that divides 5143 without a remainder.

1,37,139,5143

Greatest Common Factor

We found the factors 9151,5143 . The biggest common factor number is the GCF number.
So the greatest common factor 9151,5143 is 1.

Lets's calculate LCM of 33,507

3 33, 507
11, 169

∴ So the LCM of the given numbers is 3 x 11 x 169 = 5577

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5577

Therefore, the GCF of Fractions 9151/33,5143/507 is 1/5577

Least Common Multiple of 33,507 with GCF Formula

Least Common Multiple of 33,507 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 33,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,507) = 3

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

GCF(33,507) x common factors =3 x 1 = 3

LCM(33,507) = ( 33 × 507 ) / 3

LCM(33,507) = 16731 / 3

LCM(33,507) = 5577


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 9151/33, 5143/507

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 9151/33, 5143/507?

Answer: GCF of Numerators as per given numbers 9151/33, 5143/507 is

GCF of Numerators i.e. for 9151,5143 is 1

LCM of denominators i.e. for 33,507 is 5577.

Thus, GCF of Fractions is 1/5577.Finally, GCF of Fractions for 9151/33, 5143/507 is 1/5577.