Greatest Common Factor of 32/27, 66/38, 117/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 32/27, 66/38, 117/508

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 32/27,66/38,117/508

Given fractions are 32/27,66/38,117/508

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 32,66,117

Greatest Common Factor of Numerators i.e. GCF of 32,66,117 is 1 .

LCM of Denominators means LCM of 27,38,508 as per the given fractions.

LCM of 27,38,508 is 260604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 32,66,117

GCF of Fractions 32/27,66/38,117/508 is 1/260604

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

Greatest Common Factor of 32,66,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,66,117 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 32,66,117 . The biggest common factor number is the GCF number.
So the greatest common factor 32,66,117 is 1.

Lets's calculate LCM of 27,38,508

2 27, 38, 508
27, 19, 254

∴ So the LCM of the given numbers is 2 x 27 x 19 x 254 = 260604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260604

Therefore, the GCF of Fractions 32/27,66/38,117/508 is 1/260604

Least Common Multiple of 27,38,508 with GCF Formula

Least Common Multiple of 27,38,508 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 27,38,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,38,508) = 1

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

GCF(27,38,508) x common factors =1 x 2 = 2

LCM(27,38,508) = ( 27 × 38 × 508 ) / 2

LCM(27,38,508) = 521208 / 2

LCM(27,38,508) = 260604


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 32/27, 66/38, 117/508

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 32/27, 66/38, 117/508?

Answer: GCF of Numerators as per given numbers 32/27, 66/38, 117/508 is

GCF of Numerators i.e. for 32,66,117 is 1

LCM of denominators i.e. for 27,38,508 is 260604.

Thus, GCF of Fractions is 1/260604.Finally, GCF of Fractions for 32/27, 66/38, 117/508 is 1/260604.