Greatest Common Factor of 27/43, 45/58, 242/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/43, 45/58, 242/292

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 27/43,45/58,242/292

Given fractions are 27/43,45/58,242/292

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 27,45,242

Greatest Common Factor of Numerators i.e. GCF of 27,45,242 is 1 .

LCM of Denominators means LCM of 43,58,292 as per the given fractions.

LCM of 43,58,292 is 364124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,45,242

GCF of Fractions 27/43,45/58,242/292 is 1/364124

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

Greatest Common Factor of 27,45,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,45,242 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 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 27,45,242 . The biggest common factor number is the GCF number.
So the greatest common factor 27,45,242 is 1.

Lets's calculate LCM of 43,58,292

2 43, 58, 292
43, 29, 146

∴ So the LCM of the given numbers is 2 x 43 x 29 x 146 = 364124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/364124

Therefore, the GCF of Fractions 27/43,45/58,242/292 is 1/364124

Least Common Multiple of 43,58,292 with GCF Formula

Least Common Multiple of 43,58,292 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 43,58,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,58,292) = 1

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

GCF(43,58,292) x common factors =1 x 2 = 2

LCM(43,58,292) = ( 43 × 58 × 292 ) / 2

LCM(43,58,292) = 728248 / 2

LCM(43,58,292) = 364124


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 27/43, 45/58, 242/292

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 27/43, 45/58, 242/292?

Answer: GCF of Numerators as per given numbers 27/43, 45/58, 242/292 is

GCF of Numerators i.e. for 27,45,242 is 1

LCM of denominators i.e. for 43,58,292 is 364124.

Thus, GCF of Fractions is 1/364124.Finally, GCF of Fractions for 27/43, 45/58, 242/292 is 1/364124.