Greatest Common Factor of 27/86, 132/89, 536/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/86, 132/89, 536/270

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 27/86,132/89,536/270

Given fractions are 27/86,132/89,536/270

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 27,132,536

Greatest Common Factor of Numerators i.e. GCF of 27,132,536 is 1 .

LCM of Denominators means LCM of 86,89,270 as per the given fractions.

LCM of 86,89,270 is 1033290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,132,536

GCF of Fractions 27/86,132/89,536/270 is 1/1033290

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

Greatest Common Factor of 27,132,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,132,536 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 27,132,536 . The biggest common factor number is the GCF number.
So the greatest common factor 27,132,536 is 1.

Lets's calculate LCM of 86,89,270

2 86, 89, 270
43, 89, 135

∴ So the LCM of the given numbers is 2 x 43 x 89 x 135 = 1033290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1033290

Therefore, the GCF of Fractions 27/86,132/89,536/270 is 1/1033290

Least Common Multiple of 86,89,270 with GCF Formula

Least Common Multiple of 86,89,270 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 86,89,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,89,270) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,89,270) x common factors =1 x 2 = 2

LCM(86,89,270) = ( 86 × 89 × 270 ) / 2

LCM(86,89,270) = 2066580 / 2

LCM(86,89,270) = 1033290


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 27/86, 132/89, 536/270

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 27/86, 132/89, 536/270?

Answer: GCF of Numerators as per given numbers 27/86, 132/89, 536/270 is

GCF of Numerators i.e. for 27,132,536 is 1

LCM of denominators i.e. for 86,89,270 is 1033290.

Thus, GCF of Fractions is 1/1033290.Finally, GCF of Fractions for 27/86, 132/89, 536/270 is 1/1033290.