How to Find GCF of 17/59, 81/13, 308/235?

GCF of 17/59, 81/13, 308/235

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 17/59, 81/13, 308/235 i.e 1/180245 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/59, 81/13, 308/235.

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 17/59,81/13,308/235?

Given fractions are 17/59,81/13,308/235

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 17/59,81/13,308/235, numerators are 17,81,308

Denominators are 59,13,235

The GCF of 17,81,308 is 1 .

LCM of 59,13,235 is 180245.

The greatest common factor of 17/59,81/13,308/235 = [GCF of 17,81,308]/[LCM of 59,13,235]= 1/180245

Therefore, the GCF of 17/59,81/13,308/235 is 1/180245.

Greatest Common Factor of 17,81,308

To find the highest common factor of 17,81,308, we have to find the factors of both numbers and list the highest common factor.

The factors of 17 are 1, 17

The factors of 81 are 1, 3, 9, 27, 81

The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

The HCF of 17,81,308 is 1.

Lets's calculate GCF of 17,81,308

Greatest Common Factor (GCF) of 17,81,308 By Common Division

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

Greatest Common Factor of 17,81,308 By Matching Biggest Common Factor Method

Now, list down the factors of 17

1,17

Now, list down the factors of 81

1,3,9,27,81

Now, list down the factors of 308

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 17,81,308 . The biggest common factor number is the GCF number.
So the greatest common factor 17,81,308 is 1.

Lets's calculate LCM of 59,13,235

Lowest Common Multiple of 59,13,235 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 180245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180245

Therefore, the GCF of Fractions 17/59,81/13,308/235 is 1/180245

Least Common Multiple of 59,13,235 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 59,13,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,13,235) = 1

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

GCF(59,13,235) x common factors =1 x 1 = 1

LCM(59,13,235) = ( 59 × 13 × 235 ) / 1

LCM(59,13,235) = 180245 / 1

LCM(59,13,235) = 180245

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FAQs on GCF of Fractions of 17/59, 81/13, 308/235

1. What is the HCF of 17,81,308?

The HCF of 17,81,308 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 17/59, 81/13, 308/235?

Answer: GCF of Numerators as per given numbers 17/59, 81/13, 308/235 is

GCF of Numerators i.e. for 17,81,308 is 1

LCM of denominators i.e. for 59,13,235 is 180245.

Thus, GCF of Fractions is 1/180245.Finally, GCF of Fractions for 17/59, 81/13, 308/235 is 1/180245.