How to Find GCF of 299/17, 128/76, 139/24?

GCF of 299/17, 128/76, 139/24

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 299/17, 128/76, 139/24 i.e 1/7752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 299/17, 128/76, 139/24.

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 299/17,128/76,139/24?

Given fractions are 299/17,128/76,139/24

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 299/17,128/76,139/24, numerators are 299,128,139

Denominators are 17,76,24

The GCF of 299,128,139 is 1 .

LCM of 17,76,24 is 7752.

The greatest common factor of 299/17,128/76,139/24 = [GCF of 299,128,139]/[LCM of 17,76,24]= 1/7752

Therefore, the GCF of 299/17,128/76,139/24 is 1/7752.

Greatest Common Factor of 299,128,139

To find the highest common factor of 299,128,139, we have to find the factors of both numbers and list the highest common factor.

The factors of 299 are 1, 13, 23, 299

The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128

The factors of 139 are 1, 139

The HCF of 299,128,139 is 1.

Lets's calculate GCF of 299,128,139

Greatest Common Factor (GCF) of 299,128,139 By Common Division

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

Greatest Common Factor of 299,128,139 By Matching Biggest Common Factor Method

Now, list down the factors of 299

1,13,23,299

Now, list down the factors of 128

1,2,4,8,16,32,64,128

Now, list down the factors of 139

1,139

Greatest Common Factor

We found the factors 299,128,139 . The biggest common factor number is the GCF number.
So the greatest common factor 299,128,139 is 1.

Lets's calculate LCM of 17,76,24

Lowest Common Multiple of 17,76,24 using Common Division

2	17, 76, 24
2	17, 38, 12
	17, 19, 6

∴ So the LCM of the given numbers is 2 x 2 x 17 x 19 x 6 = 7752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7752

Therefore, the GCF of Fractions 299/17,128/76,139/24 is 1/7752

Least Common Multiple of 17,76,24 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 17,76,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,76,24) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(17,76,24) x common factors =1 x 4 = 4

LCM(17,76,24) = ( 17 × 76 × 24 ) / 4

LCM(17,76,24) = 31008 / 4

LCM(17,76,24) = 7752

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FAQs on GCF of Fractions of 299/17, 128/76, 139/24

1. What is the HCF of 299,128,139?

The HCF of 299,128,139 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 299/17, 128/76, 139/24?

Answer: GCF of Numerators as per given numbers 299/17, 128/76, 139/24 is

GCF of Numerators i.e. for 299,128,139 is 1

LCM of denominators i.e. for 17,76,24 is 7752.

Thus, GCF of Fractions is 1/7752.Finally, GCF of Fractions for 299/17, 128/76, 139/24 is 1/7752.