How to Find GCF of 96/404, 87/277, 727/138?

GCF of 96/404, 87/277, 727/138

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 96/404, 87/277, 727/138 i.e 1/7721652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/404, 87/277, 727/138.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 96/404,87/277,727/138?

Given fractions are 96/404,87/277,727/138

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 96/404,87/277,727/138, numerators are 96,87,727

Denominators are 404,277,138

The GCF of 96,87,727 is 1 .

LCM of 404,277,138 is 7721652.

The greatest common factor of 96/404,87/277,727/138 = [GCF of 96,87,727]/[LCM of 404,277,138]= 1/7721652

Therefore, the GCF of 96/404,87/277,727/138 is 1/7721652.

Greatest Common Factor of 96,87,727

To find the highest common factor of 96,87,727, we have to find the factors of both numbers and list the highest common factor.

The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The factors of 87 are 1, 3, 29, 87

The factors of 727 are 1, 727

The HCF of 96,87,727 is 1.

Lets's calculate GCF of 96,87,727

Greatest Common Factor (GCF) of 96,87,727 By Common Division

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

Greatest Common Factor of 96,87,727 By Matching Biggest Common Factor Method

Now, list down the factors of 96

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

Now, list down the factors of 87

1,3,29,87

Now, list down the factors of 727

1,727

Greatest Common Factor

We found the factors 96,87,727 . The biggest common factor number is the GCF number.
So the greatest common factor 96,87,727 is 1.

Lets's calculate LCM of 404,277,138

Lowest Common Multiple of 404,277,138 using Common Division

2	404, 277, 138
	202, 277, 69

∴ So the LCM of the given numbers is 2 x 202 x 277 x 69 = 7721652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7721652

Therefore, the GCF of Fractions 96/404,87/277,727/138 is 1/7721652

Least Common Multiple of 404,277,138 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 404,277,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,277,138) = 1

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

GCF(404,277,138) x common factors =1 x 2 = 2

LCM(404,277,138) = ( 404 × 277 × 138 ) / 2

LCM(404,277,138) = 15443304 / 2

LCM(404,277,138) = 7721652

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FAQs on GCF of Fractions of 96/404, 87/277, 727/138

1. What is the HCF of 96,87,727?

The HCF of 96,87,727 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 96/404, 87/277, 727/138?

Answer: GCF of Numerators as per given numbers 96/404, 87/277, 727/138 is

GCF of Numerators i.e. for 96,87,727 is 1

LCM of denominators i.e. for 404,277,138 is 7721652.

Thus, GCF of Fractions is 1/7721652.Finally, GCF of Fractions for 96/404, 87/277, 727/138 is 1/7721652.