Greatest Common Factor of 393/475, 5478/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 393/475, 5478/667

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 393/475,5478/667

Given fractions are 393/475,5478/667

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 393,5478

Greatest Common Factor of Numerators i.e. GCF of 393,5478 is 3 .

LCM of Denominators means LCM of 475,667 as per the given fractions.

LCM of 475,667 is 316825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 393,5478

GCF of Fractions 393/475,5478/667 is 3/316825

3 393, 5478
131, 1826

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

Greatest Common Factor of 393,5478 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,5478 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 5478

List of positive integer factors of 5478 that divides 5478 without a remainder.

1,2,3,6,11,22,33,66,83,166,249,498,913,1826,2739,5478

Greatest Common Factor

We found the factors 393,5478 . The biggest common factor number is the GCF number.
So the greatest common factor 393,5478 is 3.

Lets's calculate LCM of 475,667

Given numbers has no common factors except 1. So, there LCM is their product i.e 316825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/316825

Therefore, the GCF of Fractions 393/475,5478/667 is 3/316825

Least Common Multiple of 475,667 with GCF Formula

Least Common Multiple of 475,667 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 475,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,667) = 1

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

GCF(475,667) x common factors =1 x 1 = 1

LCM(475,667) = ( 475 × 667 ) / 1

LCM(475,667) = 316825 / 1

LCM(475,667) = 316825


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 393/475, 5478/667

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 393/475, 5478/667?

Answer: GCF of Numerators as per given numbers 393/475, 5478/667 is

GCF of Numerators i.e. for 393,5478 is 3

LCM of denominators i.e. for 475,667 is 316825.

Thus, GCF of Fractions is 3/316825.Finally, GCF of Fractions for 393/475, 5478/667 is 3/316825.