Greatest Common Factor of 48/945, 663/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/945, 663/231

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 48/945,663/231

Given fractions are 48/945,663/231

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 48,663

Greatest Common Factor of Numerators i.e. GCF of 48,663 is 3 .

LCM of Denominators means LCM of 945,231 as per the given fractions.

LCM of 945,231 is 10395 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,663

GCF of Fractions 48/945,663/231 is 3/10395

3 48, 663
16, 221

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

Greatest Common Factor of 48,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,663 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 48,663 . The biggest common factor number is the GCF number.
So the greatest common factor 48,663 is 3.

Lets's calculate LCM of 945,231

3 945, 231
7 315, 77
45, 11

∴ So the LCM of the given numbers is 3 x 7 x 45 x 11 = 10395

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10395

Therefore, the GCF of Fractions 48/945,663/231 is 3/10395

Least Common Multiple of 945,231 with GCF Formula

Least Common Multiple of 945,231 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 945,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,231) = 21

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

GCF(945,231) x common factors =21 x 1 = 21

LCM(945,231) = ( 945 × 231 ) / 21

LCM(945,231) = 218295 / 21

LCM(945,231) = 10395


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 48/945, 663/231

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 48/945, 663/231?

Answer: GCF of Numerators as per given numbers 48/945, 663/231 is

GCF of Numerators i.e. for 48,663 is 3

LCM of denominators i.e. for 945,231 is 10395.

Thus, GCF of Fractions is 3/10395.Finally, GCF of Fractions for 48/945, 663/231 is 3/10395.