Greatest Common Factor of 24/43, 96/27, 542/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/43, 96/27, 542/178

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 24/43,96/27,542/178

Given fractions are 24/43,96/27,542/178

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 24,96,542

Greatest Common Factor of Numerators i.e. GCF of 24,96,542 is 2 .

LCM of Denominators means LCM of 43,27,178 as per the given fractions.

LCM of 43,27,178 is 206658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,96,542

GCF of Fractions 24/43,96/27,542/178 is 2/206658

2 24, 96, 542
12, 48, 271

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 24,96,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,96,542 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 24,96,542 . The biggest common factor number is the GCF number.
So the greatest common factor 24,96,542 is 2.

Lets's calculate LCM of 43,27,178

Given numbers has no common factors except 1. So, there LCM is their product i.e 206658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/206658

Therefore, the GCF of Fractions 24/43,96/27,542/178 is 2/206658

Least Common Multiple of 43,27,178 with GCF Formula

Least Common Multiple of 43,27,178 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 43,27,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,27,178) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(43,27,178) x common factors =1 x 1 = 1

LCM(43,27,178) = ( 43 × 27 × 178 ) / 1

LCM(43,27,178) = 206658 / 1

LCM(43,27,178) = 206658


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 24/43, 96/27, 542/178

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 24/43, 96/27, 542/178?

Answer: GCF of Numerators as per given numbers 24/43, 96/27, 542/178 is

GCF of Numerators i.e. for 24,96,542 is 2

LCM of denominators i.e. for 43,27,178 is 206658.

Thus, GCF of Fractions is 2/206658.Finally, GCF of Fractions for 24/43, 96/27, 542/178 is 2/206658.