Greatest Common Factor of 27/76, 47/68, 470/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/76, 47/68, 470/21

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 27/76,47/68,470/21

Given fractions are 27/76,47/68,470/21

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 27,47,470

Greatest Common Factor of Numerators i.e. GCF of 27,47,470 is 1 .

LCM of Denominators means LCM of 76,68,21 as per the given fractions.

LCM of 76,68,21 is 27132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,47,470

GCF of Fractions 27/76,47/68,470/21 is 1/27132

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

Greatest Common Factor of 27,47,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,47,470 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 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 27,47,470 . The biggest common factor number is the GCF number.
So the greatest common factor 27,47,470 is 1.

Lets's calculate LCM of 76,68,21

2 76, 68, 21
2 38, 34, 21
19, 17, 21

∴ So the LCM of the given numbers is 2 x 2 x 19 x 17 x 21 = 27132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27132

Therefore, the GCF of Fractions 27/76,47/68,470/21 is 1/27132

Least Common Multiple of 76,68,21 with GCF Formula

Least Common Multiple of 76,68,21 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 76,68,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,68,21) = 1

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

GCF(76,68,21) x common factors =1 x 4 = 4

LCM(76,68,21) = ( 76 × 68 × 21 ) / 4

LCM(76,68,21) = 108528 / 4

LCM(76,68,21) = 27132


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 27/76, 47/68, 470/21

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 27/76, 47/68, 470/21?

Answer: GCF of Numerators as per given numbers 27/76, 47/68, 470/21 is

GCF of Numerators i.e. for 27,47,470 is 1

LCM of denominators i.e. for 76,68,21 is 27132.

Thus, GCF of Fractions is 1/27132.Finally, GCF of Fractions for 27/76, 47/68, 470/21 is 1/27132.