Greatest Common Factor of 27/41, 68/46, 513/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/41, 68/46, 513/646

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 27/41,68/46,513/646

Given fractions are 27/41,68/46,513/646

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 27,68,513

Greatest Common Factor of Numerators i.e. GCF of 27,68,513 is 1 .

LCM of Denominators means LCM of 41,46,646 as per the given fractions.

LCM of 41,46,646 is 609178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,68,513

GCF of Fractions 27/41,68/46,513/646 is 1/609178

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

Greatest Common Factor of 27,68,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,68,513 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 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 27,68,513 . The biggest common factor number is the GCF number.
So the greatest common factor 27,68,513 is 1.

Lets's calculate LCM of 41,46,646

2 41, 46, 646
41, 23, 323

∴ So the LCM of the given numbers is 2 x 41 x 23 x 323 = 609178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/609178

Therefore, the GCF of Fractions 27/41,68/46,513/646 is 1/609178

Least Common Multiple of 41,46,646 with GCF Formula

Least Common Multiple of 41,46,646 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 41,46,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,46,646) = 1

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

GCF(41,46,646) x common factors =1 x 2 = 2

LCM(41,46,646) = ( 41 × 46 × 646 ) / 2

LCM(41,46,646) = 1218356 / 2

LCM(41,46,646) = 609178


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 27/41, 68/46, 513/646

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 27/41, 68/46, 513/646?

Answer: GCF of Numerators as per given numbers 27/41, 68/46, 513/646 is

GCF of Numerators i.e. for 27,68,513 is 1

LCM of denominators i.e. for 41,46,646 is 609178.

Thus, GCF of Fractions is 1/609178.Finally, GCF of Fractions for 27/41, 68/46, 513/646 is 1/609178.