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GCF of 588/33, 308/99, 508/29

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 588/33, 308/99, 508/29 i.e 4/2871 easily. The following is the detailed procedure to determine the greatest common factor of fractions 588/33, 308/99, 508/29.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 588/33,308/99,508/29?

Given fractions are 588/33,308/99,508/29

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 588/33,308/99,508/29, numerators are 588,308,508

Denominators are 33,99,29

The GCF of 588,308,508 is 4 .

LCM of 33,99,29 is 2871.

The greatest common factor of 588/33,308/99,508/29 = [GCF of 588,308,508]/[LCM of 33,99,29]= 4/2871

Therefore, the GCF of 588/33,308/99,508/29 is 4/2871.

Greatest Common Factor of 588,308,508

To find the highest common factor of 588,308,508, we have to find the factors of both numbers and list the highest common factor.

The factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

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

The factors of 508 are 1, 2, 4, 127, 254, 508

The HCF of 588,308,508 is 4.

Lets's calculate GCF of 588,308,508

Greatest Common Factor (GCF) of 588,308,508 By Common Division

2 588, 308, 508
2 294, 154, 254
147, 77, 127

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 588,308,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,308,508 By Matching Biggest Common Factor Method

Now, list down the factors of 588

:

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Now, list down the factors of 308

:

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

Now, list down the factors of 508

:

1,2,4,127,254,508

Greatest Common Factor

We found the factors 588,308,508 . The biggest common factor number is the GCF number.
So the greatest common factor 588,308,508 is 4.


Lets's calculate LCM of 33,99,29

Lowest Common Multiple of 33,99,29 using Common Division

3 33, 99, 29
11 11, 33, 29
1, 3, 29

∴ So the LCM of the given numbers is 3 x 11 x 1 x 3 x 29 = 2871

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2871

Therefore, the GCF of Fractions 588/33,308/99,508/29 is 4/2871

Least Common Multiple of 33,99,29 with GCF Formula

Least Common Multiple of 33,99,29 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 33,99,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,99,29) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(33,99,29) x common factors =1 x 33 = 33

LCM(33,99,29) = ( 33 × 99 × 29 ) / 33

LCM(33,99,29) = 94743 / 33

LCM(33,99,29) = 2871


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 588/33, 308/99, 508/29

1. What is the HCF of 588,308,508?

The HCF of 588,308,508 is 4

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 588/33, 308/99, 508/29?

Answer: GCF of Numerators as per given numbers 588/33, 308/99, 508/29 is

GCF of Numerators i.e. for 588,308,508 is 4

LCM of denominators i.e. for 33,99,29 is 2871.

Thus, GCF of Fractions is 4/2871.Finally, GCF of Fractions for 588/33, 308/99, 508/29 is 4/2871.