Greatest Common Factor of 5353/654, 7352/5733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5353/654, 7352/5733

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 5353/654,7352/5733

Given fractions are 5353/654,7352/5733

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 5353,7352

Greatest Common Factor of Numerators i.e. GCF of 5353,7352 is 1 .

LCM of Denominators means LCM of 654,5733 as per the given fractions.

LCM of 654,5733 is 1249794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5353,7352

GCF of Fractions 5353/654,7352/5733 is 1/1249794

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

Greatest Common Factor of 5353,7352 By Matching Biggest Common Factor Method

Greatest Common Factor of 5353,7352 By Matching Biggest Common Factor Method

Factors of 5353

List of positive integer factors of 5353 that divides 5353 without a remainder.

1,53,101,5353

Factors of 7352

List of positive integer factors of 7352 that divides 7352 without a remainder.

1,2,4,8,919,1838,3676,7352

Greatest Common Factor

We found the factors 5353,7352 . The biggest common factor number is the GCF number.
So the greatest common factor 5353,7352 is 1.

Lets's calculate LCM of 654,5733

3 654, 5733
218, 1911

∴ So the LCM of the given numbers is 3 x 218 x 1911 = 1249794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1249794

Therefore, the GCF of Fractions 5353/654,7352/5733 is 1/1249794

Least Common Multiple of 654,5733 with GCF Formula

Least Common Multiple of 654,5733 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 654,5733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,5733) = 3

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

GCF(654,5733) x common factors =3 x 1 = 3

LCM(654,5733) = ( 654 × 5733 ) / 3

LCM(654,5733) = 3749382 / 3

LCM(654,5733) = 1249794


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 5353/654, 7352/5733

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 5353/654, 7352/5733?

Answer: GCF of Numerators as per given numbers 5353/654, 7352/5733 is

GCF of Numerators i.e. for 5353,7352 is 1

LCM of denominators i.e. for 654,5733 is 1249794.

Thus, GCF of Fractions is 1/1249794.Finally, GCF of Fractions for 5353/654, 7352/5733 is 1/1249794.