How to Find GCF of 324/184, 308/291?

GCF of 324/184, 308/291

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 324/184, 308/291 i.e 4/53544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 324/184, 308/291.

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 324/184,308/291?

Given fractions are 324/184,308/291

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 324/184,308/291, numerators are 324,308

Denominators are 184,291

The GCF of 324,308 is 4 .

LCM of 184,291 is 53544.

The greatest common factor of 324/184,308/291 = [GCF of 324,308]/[LCM of 184,291]= 4/53544

Therefore, the GCF of 324/184,308/291 is 4/53544.

Greatest Common Factor of 324,308

To find the highest common factor of 324,308, we have to find the factors of both numbers and list the highest common factor.

The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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

The HCF of 324,308 is 4.

Lets's calculate GCF of 324,308

Greatest Common Factor (GCF) of 324,308 By Common Division

2	324, 308
2	162, 154
	81, 77

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

Greatest Common Factor of 324,308 By Matching Biggest Common Factor Method

Now, list down the factors of 324

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

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 324,308 . The biggest common factor number is the GCF number.
So the greatest common factor 324,308 is 4.

Lets's calculate LCM of 184,291

Lowest Common Multiple of 184,291 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 53544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/53544

Therefore, the GCF of Fractions 324/184,308/291 is 4/53544

Least Common Multiple of 184,291 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 184,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,291) = 1

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

GCF(184,291) x common factors =1 x 1 = 1

LCM(184,291) = ( 184 × 291 ) / 1

LCM(184,291) = 53544 / 1

LCM(184,291) = 53544

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FAQs on GCF of Fractions of 324/184, 308/291

1. What is the HCF of 324,308?

The HCF of 324,308 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 324/184, 308/291?

Answer: GCF of Numerators as per given numbers 324/184, 308/291 is

GCF of Numerators i.e. for 324,308 is 4

LCM of denominators i.e. for 184,291 is 53544.

Thus, GCF of Fractions is 4/53544.Finally, GCF of Fractions for 324/184, 308/291 is 4/53544.