Greatest Common Factor of 5332/34, 6533/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5332/34, 6533/496

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 5332/34,6533/496

Given fractions are 5332/34,6533/496

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 5332,6533

Greatest Common Factor of Numerators i.e. GCF of 5332,6533 is 1 .

LCM of Denominators means LCM of 34,496 as per the given fractions.

LCM of 34,496 is 8432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5332,6533

GCF of Fractions 5332/34,6533/496 is 1/8432

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

Greatest Common Factor of 5332,6533 By Matching Biggest Common Factor Method

Greatest Common Factor of 5332,6533 By Matching Biggest Common Factor Method

Factors of 5332

List of positive integer factors of 5332 that divides 5332 without a remainder.

1,2,4,31,43,62,86,124,172,1333,2666,5332

Factors of 6533

List of positive integer factors of 6533 that divides 6533 without a remainder.

1,47,139,6533

Greatest Common Factor

We found the factors 5332,6533 . The biggest common factor number is the GCF number.
So the greatest common factor 5332,6533 is 1.

Lets's calculate LCM of 34,496

2 34, 496
17, 248

∴ So the LCM of the given numbers is 2 x 17 x 248 = 8432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8432

Therefore, the GCF of Fractions 5332/34,6533/496 is 1/8432

Least Common Multiple of 34,496 with GCF Formula

Least Common Multiple of 34,496 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 34,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,496) = 2

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

GCF(34,496) x common factors =2 x 1 = 2

LCM(34,496) = ( 34 × 496 ) / 2

LCM(34,496) = 16864 / 2

LCM(34,496) = 8432


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 5332/34, 6533/496

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 5332/34, 6533/496?

Answer: GCF of Numerators as per given numbers 5332/34, 6533/496 is

GCF of Numerators i.e. for 5332,6533 is 1

LCM of denominators i.e. for 34,496 is 8432.

Thus, GCF of Fractions is 1/8432.Finally, GCF of Fractions for 5332/34, 6533/496 is 1/8432.