Greatest Common Factor of 887/12, 104/15, 338/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 887/12, 104/15, 338/384

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 887/12,104/15,338/384

Given fractions are 887/12,104/15,338/384

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 887,104,338

Greatest Common Factor of Numerators i.e. GCF of 887,104,338 is 1 .

LCM of Denominators means LCM of 12,15,384 as per the given fractions.

LCM of 12,15,384 is 1920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 887,104,338

GCF of Fractions 887/12,104/15,338/384 is 1/1920

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 887,104,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 887,104,338 By Matching Biggest Common Factor Method

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 887,104,338 . The biggest common factor number is the GCF number.
So the greatest common factor 887,104,338 is 1.

Lets's calculate LCM of 12,15,384

2 12, 15, 384
2 6, 15, 192
3 3, 15, 96
1, 5, 32

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 5 x 32 = 1920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1920

Therefore, the GCF of Fractions 887/12,104/15,338/384 is 1/1920

Least Common Multiple of 12,15,384 with GCF Formula

Least Common Multiple of 12,15,384 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 12,15,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,15,384) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(12,15,384) x common factors =3 x 12 = 36

LCM(12,15,384) = ( 12 × 15 × 384 ) / 36

LCM(12,15,384) = 69120 / 36

LCM(12,15,384) = 1920


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 887/12, 104/15, 338/384

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 887/12, 104/15, 338/384?

Answer: GCF of Numerators as per given numbers 887/12, 104/15, 338/384 is

GCF of Numerators i.e. for 887,104,338 is 1

LCM of denominators i.e. for 12,15,384 is 1920.

Thus, GCF of Fractions is 1/1920.Finally, GCF of Fractions for 887/12, 104/15, 338/384 is 1/1920.