Greatest Common Factor of 28/276, 35/814, 891/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/276, 35/814, 891/460

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 28/276,35/814,891/460

Given fractions are 28/276,35/814,891/460

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 28,35,891

Greatest Common Factor of Numerators i.e. GCF of 28,35,891 is 1 .

LCM of Denominators means LCM of 276,814,460 as per the given fractions.

LCM of 276,814,460 is 561660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,35,891

GCF of Fractions 28/276,35/814,891/460 is 1/561660

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

Greatest Common Factor of 28,35,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,35,891 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

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

Greatest Common Factor

We found the factors 28,35,891 . The biggest common factor number is the GCF number.
So the greatest common factor 28,35,891 is 1.

Lets's calculate LCM of 276,814,460

2 276, 814, 460
2 138, 407, 230
23 69, 407, 115
3, 407, 5

∴ So the LCM of the given numbers is 2 x 2 x 23 x 3 x 407 x 5 = 561660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/561660

Therefore, the GCF of Fractions 28/276,35/814,891/460 is 1/561660

Least Common Multiple of 276,814,460 with GCF Formula

Least Common Multiple of 276,814,460 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 276,814,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,814,460) = 2

common factors(in case of two or more numbers have common factors) = 92

GCF(276,814,460) x common factors =2 x 92 = 184

LCM(276,814,460) = ( 276 × 814 × 460 ) / 184

LCM(276,814,460) = 103345440 / 184

LCM(276,814,460) = 561660


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 28/276, 35/814, 891/460

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 28/276, 35/814, 891/460?

Answer: GCF of Numerators as per given numbers 28/276, 35/814, 891/460 is

GCF of Numerators i.e. for 28,35,891 is 1

LCM of denominators i.e. for 276,814,460 is 561660.

Thus, GCF of Fractions is 1/561660.Finally, GCF of Fractions for 28/276, 35/814, 891/460 is 1/561660.