Greatest Common Factor of 891/80, 208/30, 109/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 891/80, 208/30, 109/12

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 891/80,208/30,109/12

Given fractions are 891/80,208/30,109/12

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 891,208,109

Greatest Common Factor of Numerators i.e. GCF of 891,208,109 is 1 .

LCM of Denominators means LCM of 80,30,12 as per the given fractions.

LCM of 80,30,12 is 240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 891,208,109

GCF of Fractions 891/80,208/30,109/12 is 1/240

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

Greatest Common Factor of 891,208,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,208,109 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 891,208,109 . The biggest common factor number is the GCF number.
So the greatest common factor 891,208,109 is 1.

Lets's calculate LCM of 80,30,12

2 80, 30, 12
2 40, 15, 6
3 20, 15, 3
5 20, 5, 1
4, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 4 x 1 x 1 = 240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240

Therefore, the GCF of Fractions 891/80,208/30,109/12 is 1/240

Least Common Multiple of 80,30,12 with GCF Formula

Least Common Multiple of 80,30,12 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 80,30,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,30,12) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(80,30,12) x common factors =2 x 60 = 120

LCM(80,30,12) = ( 80 × 30 × 12 ) / 120

LCM(80,30,12) = 28800 / 120

LCM(80,30,12) = 240


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 891/80, 208/30, 109/12

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 891/80, 208/30, 109/12?

Answer: GCF of Numerators as per given numbers 891/80, 208/30, 109/12 is

GCF of Numerators i.e. for 891,208,109 is 1

LCM of denominators i.e. for 80,30,12 is 240.

Thus, GCF of Fractions is 1/240.Finally, GCF of Fractions for 891/80, 208/30, 109/12 is 1/240.