Greatest Common Factor of 85/27, 22/42, 40/28, 81/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/27, 22/42, 40/28, 81/896

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 85/27,22/42,40/28,81/896

Given fractions are 85/27,22/42,40/28,81/896

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 85,22,40,81

Greatest Common Factor of Numerators i.e. GCF of 85,22,40,81 is 1 .

LCM of Denominators means LCM of 27,42,28,896 as per the given fractions.

LCM of 27,42,28,896 is 24192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,22,40,81

GCF of Fractions 85/27,22/42,40/28,81/896 is 1/24192

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

Greatest Common Factor of 85,22,40,81 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,22,40,81 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Greatest Common Factor

We found the factors 85,22,40,81 . The biggest common factor number is the GCF number.
So the greatest common factor 85,22,40,81 is 1.

Lets's calculate LCM of 27,42,28,896

2 27, 42, 28, 896
2 27, 21, 14, 448
3 27, 21, 7, 224
7 9, 7, 7, 224
9, 1, 1, 32

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 9 x 1 x 1 x 32 = 24192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24192

Therefore, the GCF of Fractions 85/27,22/42,40/28,81/896 is 1/24192

Least Common Multiple of 27,42,28,896 with GCF Formula

Least Common Multiple of 27,42,28,896 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 27,42,28,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,42,28,896) = 1

common factors(in case of two or more numbers have common factors) = 1176

GCF(27,42,28,896) x common factors =1 x 1176 = 1176

LCM(27,42,28,896) = ( 27 × 42 × 28 × 896 ) / 1176

LCM(27,42,28,896) = 28449792 / 1176

LCM(27,42,28,896) = 24192


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 85/27, 22/42, 40/28, 81/896

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 85/27, 22/42, 40/28, 81/896?

Answer: GCF of Numerators as per given numbers 85/27, 22/42, 40/28, 81/896 is

GCF of Numerators i.e. for 85,22,40,81 is 1

LCM of denominators i.e. for 27,42,28,896 is 24192.

Thus, GCF of Fractions is 1/24192.Finally, GCF of Fractions for 85/27, 22/42, 40/28, 81/896 is 1/24192.