Greatest Common Factor of 5274/93, 4198/573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5274/93, 4198/573

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 5274/93,4198/573

Given fractions are 5274/93,4198/573

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 5274,4198

Greatest Common Factor of Numerators i.e. GCF of 5274,4198 is 2 .

LCM of Denominators means LCM of 93,573 as per the given fractions.

LCM of 93,573 is 17763 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5274,4198

GCF of Fractions 5274/93,4198/573 is 2/17763

2 5274, 4198
2637, 2099

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5274,4198 By Matching Biggest Common Factor Method

Greatest Common Factor of 5274,4198 By Matching Biggest Common Factor Method

Factors of 5274

List of positive integer factors of 5274 that divides 5274 without a remainder.

1,2,3,6,9,18,293,586,879,1758,2637,5274

Factors of 4198

List of positive integer factors of 4198 that divides 4198 without a remainder.

1,2,2099,4198

Greatest Common Factor

We found the factors 5274,4198 . The biggest common factor number is the GCF number.
So the greatest common factor 5274,4198 is 2.

Lets's calculate LCM of 93,573

3 93, 573
31, 191

∴ So the LCM of the given numbers is 3 x 31 x 191 = 17763

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17763

Therefore, the GCF of Fractions 5274/93,4198/573 is 2/17763

Least Common Multiple of 93,573 with GCF Formula

Least Common Multiple of 93,573 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 93,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,573) = 3

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

GCF(93,573) x common factors =3 x 1 = 3

LCM(93,573) = ( 93 × 573 ) / 3

LCM(93,573) = 53289 / 3

LCM(93,573) = 17763


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 5274/93, 4198/573

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 5274/93, 4198/573?

Answer: GCF of Numerators as per given numbers 5274/93, 4198/573 is

GCF of Numerators i.e. for 5274,4198 is 2

LCM of denominators i.e. for 93,573 is 17763.

Thus, GCF of Fractions is 2/17763.Finally, GCF of Fractions for 5274/93, 4198/573 is 2/17763.