Greatest Common Factor of 48/230, 87/992, 801/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/230, 87/992, 801/155

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 48/230,87/992,801/155

Given fractions are 48/230,87/992,801/155

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 48,87,801

Greatest Common Factor of Numerators i.e. GCF of 48,87,801 is 3 .

LCM of Denominators means LCM of 230,992,155 as per the given fractions.

LCM of 230,992,155 is 114080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,87,801

GCF of Fractions 48/230,87/992,801/155 is 3/114080

3 48, 87, 801
16, 29, 267

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

Greatest Common Factor of 48,87,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,87,801 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 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 48,87,801 . The biggest common factor number is the GCF number.
So the greatest common factor 48,87,801 is 3.

Lets's calculate LCM of 230,992,155

2 230, 992, 155
5 115, 496, 155
31 23, 496, 31
23, 16, 1

∴ So the LCM of the given numbers is 2 x 5 x 31 x 23 x 16 x 1 = 114080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/114080

Therefore, the GCF of Fractions 48/230,87/992,801/155 is 3/114080

Least Common Multiple of 230,992,155 with GCF Formula

Least Common Multiple of 230,992,155 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 230,992,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,992,155) = 1

common factors(in case of two or more numbers have common factors) = 310

GCF(230,992,155) x common factors =1 x 310 = 310

LCM(230,992,155) = ( 230 × 992 × 155 ) / 310

LCM(230,992,155) = 35364800 / 310

LCM(230,992,155) = 114080


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 48/230, 87/992, 801/155

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 48/230, 87/992, 801/155?

Answer: GCF of Numerators as per given numbers 48/230, 87/992, 801/155 is

GCF of Numerators i.e. for 48,87,801 is 3

LCM of denominators i.e. for 230,992,155 is 114080.

Thus, GCF of Fractions is 3/114080.Finally, GCF of Fractions for 48/230, 87/992, 801/155 is 3/114080.