Greatest Common Factor of 27/32, 98/60, 183/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/32, 98/60, 183/299

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 27/32,98/60,183/299

Given fractions are 27/32,98/60,183/299

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 27,98,183

Greatest Common Factor of Numerators i.e. GCF of 27,98,183 is 1 .

LCM of Denominators means LCM of 32,60,299 as per the given fractions.

LCM of 32,60,299 is 143520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,98,183

GCF of Fractions 27/32,98/60,183/299 is 1/143520

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

Greatest Common Factor of 27,98,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,98,183 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 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 27,98,183 . The biggest common factor number is the GCF number.
So the greatest common factor 27,98,183 is 1.

Lets's calculate LCM of 32,60,299

2 32, 60, 299
2 16, 30, 299
8, 15, 299

∴ So the LCM of the given numbers is 2 x 2 x 8 x 15 x 299 = 143520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143520

Therefore, the GCF of Fractions 27/32,98/60,183/299 is 1/143520

Least Common Multiple of 32,60,299 with GCF Formula

Least Common Multiple of 32,60,299 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 32,60,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,60,299) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(32,60,299) x common factors =1 x 4 = 4

LCM(32,60,299) = ( 32 × 60 × 299 ) / 4

LCM(32,60,299) = 574080 / 4

LCM(32,60,299) = 143520


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 27/32, 98/60, 183/299

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 27/32, 98/60, 183/299?

Answer: GCF of Numerators as per given numbers 27/32, 98/60, 183/299 is

GCF of Numerators i.e. for 27,98,183 is 1

LCM of denominators i.e. for 32,60,299 is 143520.

Thus, GCF of Fractions is 1/143520.Finally, GCF of Fractions for 27/32, 98/60, 183/299 is 1/143520.