Greatest Common Factor of 5197/234, 4734/6549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5197/234, 4734/6549

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 5197/234,4734/6549

Given fractions are 5197/234,4734/6549

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 5197,4734

Greatest Common Factor of Numerators i.e. GCF of 5197,4734 is 1 .

LCM of Denominators means LCM of 234,6549 as per the given fractions.

LCM of 234,6549 is 510822 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5197,4734

GCF of Fractions 5197/234,4734/6549 is 1/510822

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

Greatest Common Factor of 5197,4734 By Matching Biggest Common Factor Method

Greatest Common Factor of 5197,4734 By Matching Biggest Common Factor Method

Factors of 5197

List of positive integer factors of 5197 that divides 5197 without a remainder.

1,5197

Factors of 4734

List of positive integer factors of 4734 that divides 4734 without a remainder.

1,2,3,6,9,18,263,526,789,1578,2367,4734

Greatest Common Factor

We found the factors 5197,4734 . The biggest common factor number is the GCF number.
So the greatest common factor 5197,4734 is 1.

Lets's calculate LCM of 234,6549

3 234, 6549
78, 2183

∴ So the LCM of the given numbers is 3 x 78 x 2183 = 510822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/510822

Therefore, the GCF of Fractions 5197/234,4734/6549 is 1/510822

Least Common Multiple of 234,6549 with GCF Formula

Least Common Multiple of 234,6549 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 234,6549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,6549) = 3

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

GCF(234,6549) x common factors =3 x 1 = 3

LCM(234,6549) = ( 234 × 6549 ) / 3

LCM(234,6549) = 1532466 / 3

LCM(234,6549) = 510822


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 5197/234, 4734/6549

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 5197/234, 4734/6549?

Answer: GCF of Numerators as per given numbers 5197/234, 4734/6549 is

GCF of Numerators i.e. for 5197,4734 is 1

LCM of denominators i.e. for 234,6549 is 510822.

Thus, GCF of Fractions is 1/510822.Finally, GCF of Fractions for 5197/234, 4734/6549 is 1/510822.