Greatest Common Factor of 5475/813, 7341/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5475/813, 7341/354

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 5475/813,7341/354

Given fractions are 5475/813,7341/354

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 5475,7341

Greatest Common Factor of Numerators i.e. GCF of 5475,7341 is 3 .

LCM of Denominators means LCM of 813,354 as per the given fractions.

LCM of 813,354 is 95934 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5475,7341

GCF of Fractions 5475/813,7341/354 is 3/95934

3 5475, 7341
1825, 2447

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5475,7341 By Matching Biggest Common Factor Method

Greatest Common Factor of 5475,7341 By Matching Biggest Common Factor Method

Factors of 5475

List of positive integer factors of 5475 that divides 5475 without a remainder.

1,3,5,15,25,73,75,219,365,1095,1825,5475

Factors of 7341

List of positive integer factors of 7341 that divides 7341 without a remainder.

1,3,2447,7341

Greatest Common Factor

We found the factors 5475,7341 . The biggest common factor number is the GCF number.
So the greatest common factor 5475,7341 is 3.

Lets's calculate LCM of 813,354

3 813, 354
271, 118

∴ So the LCM of the given numbers is 3 x 271 x 118 = 95934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/95934

Therefore, the GCF of Fractions 5475/813,7341/354 is 3/95934

Least Common Multiple of 813,354 with GCF Formula

Least Common Multiple of 813,354 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 813,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,354) = 3

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

GCF(813,354) x common factors =3 x 1 = 3

LCM(813,354) = ( 813 × 354 ) / 3

LCM(813,354) = 287802 / 3

LCM(813,354) = 95934


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 5475/813, 7341/354

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 5475/813, 7341/354?

Answer: GCF of Numerators as per given numbers 5475/813, 7341/354 is

GCF of Numerators i.e. for 5475,7341 is 3

LCM of denominators i.e. for 813,354 is 95934.

Thus, GCF of Fractions is 3/95934.Finally, GCF of Fractions for 5475/813, 7341/354 is 3/95934.