How to Find GCF of 99/94, 85/17, 13/594?

GCF of 99/94, 85/17, 13/594

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 99/94, 85/17, 13/594 i.e 1/474606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/94, 85/17, 13/594.

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 99/94,85/17,13/594?

Given fractions are 99/94,85/17,13/594

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 99/94,85/17,13/594, numerators are 99,85,13

Denominators are 94,17,594

The GCF of 99,85,13 is 1 .

LCM of 94,17,594 is 474606.

The greatest common factor of 99/94,85/17,13/594 = [GCF of 99,85,13]/[LCM of 94,17,594]= 1/474606

Therefore, the GCF of 99/94,85/17,13/594 is 1/474606.

Greatest Common Factor of 99,85,13

To find the highest common factor of 99,85,13, we have to find the factors of both numbers and list the highest common factor.

The factors of 99 are 1, 3, 9, 11, 33, 99

The factors of 85 are 1, 5, 17, 85

The factors of 13 are 1, 13

The HCF of 99,85,13 is 1.

Lets's calculate GCF of 99,85,13

Greatest Common Factor (GCF) of 99,85,13 By Common Division

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

Greatest Common Factor of 99,85,13 By Matching Biggest Common Factor Method

Now, list down the factors of 99

1,3,9,11,33,99

Now, list down the factors of 85

1,5,17,85

Now, list down the factors of 13

1,13

Greatest Common Factor

We found the factors 99,85,13 . The biggest common factor number is the GCF number.
So the greatest common factor 99,85,13 is 1.

Lets's calculate LCM of 94,17,594

Lowest Common Multiple of 94,17,594 using Common Division

2	94, 17, 594
	47, 17, 297

∴ So the LCM of the given numbers is 2 x 47 x 17 x 297 = 474606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/474606

Therefore, the GCF of Fractions 99/94,85/17,13/594 is 1/474606

Least Common Multiple of 94,17,594 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 94,17,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,17,594) = 1

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

GCF(94,17,594) x common factors =1 x 2 = 2

LCM(94,17,594) = ( 94 × 17 × 594 ) / 2

LCM(94,17,594) = 949212 / 2

LCM(94,17,594) = 474606

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FAQs on GCF of Fractions of 99/94, 85/17, 13/594

1. What is the HCF of 99,85,13?

The HCF of 99,85,13 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 99/94, 85/17, 13/594?

Answer: GCF of Numerators as per given numbers 99/94, 85/17, 13/594 is

GCF of Numerators i.e. for 99,85,13 is 1

LCM of denominators i.e. for 94,17,594 is 474606.

Thus, GCF of Fractions is 1/474606.Finally, GCF of Fractions for 99/94, 85/17, 13/594 is 1/474606.