Greatest Common Factor of 5302/48, 7515/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5302/48, 7515/913

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 5302/48,7515/913

Given fractions are 5302/48,7515/913

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 5302,7515

Greatest Common Factor of Numerators i.e. GCF of 5302,7515 is 1 .

LCM of Denominators means LCM of 48,913 as per the given fractions.

LCM of 48,913 is 43824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5302,7515

GCF of Fractions 5302/48,7515/913 is 1/43824

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

Greatest Common Factor of 5302,7515 By Matching Biggest Common Factor Method

Greatest Common Factor of 5302,7515 By Matching Biggest Common Factor Method

Factors of 5302

List of positive integer factors of 5302 that divides 5302 without a remainder.

1,2,11,22,241,482,2651,5302

Factors of 7515

List of positive integer factors of 7515 that divides 7515 without a remainder.

1,3,5,9,15,45,167,501,835,1503,2505,7515

Greatest Common Factor

We found the factors 5302,7515 . The biggest common factor number is the GCF number.
So the greatest common factor 5302,7515 is 1.

Lets's calculate LCM of 48,913

Given numbers has no common factors except 1. So, there LCM is their product i.e 43824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43824

Therefore, the GCF of Fractions 5302/48,7515/913 is 1/43824

Least Common Multiple of 48,913 with GCF Formula

Least Common Multiple of 48,913 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 48,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,913) = 1

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

GCF(48,913) x common factors =1 x 1 = 1

LCM(48,913) = ( 48 × 913 ) / 1

LCM(48,913) = 43824 / 1

LCM(48,913) = 43824


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 5302/48, 7515/913

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 5302/48, 7515/913?

Answer: GCF of Numerators as per given numbers 5302/48, 7515/913 is

GCF of Numerators i.e. for 5302,7515 is 1

LCM of denominators i.e. for 48,913 is 43824.

Thus, GCF of Fractions is 1/43824.Finally, GCF of Fractions for 5302/48, 7515/913 is 1/43824.