Greatest Common Factor of 7381/53, 5133/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7381/53, 5133/802

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 7381/53,5133/802

Given fractions are 7381/53,5133/802

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 7381,5133

Greatest Common Factor of Numerators i.e. GCF of 7381,5133 is 1 .

LCM of Denominators means LCM of 53,802 as per the given fractions.

LCM of 53,802 is 42506 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7381,5133

GCF of Fractions 7381/53,5133/802 is 1/42506

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

Greatest Common Factor of 7381,5133 By Matching Biggest Common Factor Method

Greatest Common Factor of 7381,5133 By Matching Biggest Common Factor Method

Factors of 7381

List of positive integer factors of 7381 that divides 7381 without a remainder.

1,11,61,121,671,7381

Factors of 5133

List of positive integer factors of 5133 that divides 5133 without a remainder.

1,3,29,59,87,177,1711,5133

Greatest Common Factor

We found the factors 7381,5133 . The biggest common factor number is the GCF number.
So the greatest common factor 7381,5133 is 1.

Lets's calculate LCM of 53,802

Given numbers has no common factors except 1. So, there LCM is their product i.e 42506

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42506

Therefore, the GCF of Fractions 7381/53,5133/802 is 1/42506

Least Common Multiple of 53,802 with GCF Formula

Least Common Multiple of 53,802 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 53,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,802) = 1

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

GCF(53,802) x common factors =1 x 1 = 1

LCM(53,802) = ( 53 × 802 ) / 1

LCM(53,802) = 42506 / 1

LCM(53,802) = 42506


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 7381/53, 5133/802

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 7381/53, 5133/802?

Answer: GCF of Numerators as per given numbers 7381/53, 5133/802 is

GCF of Numerators i.e. for 7381,5133 is 1

LCM of denominators i.e. for 53,802 is 42506.

Thus, GCF of Fractions is 1/42506.Finally, GCF of Fractions for 7381/53, 5133/802 is 1/42506.