How to Find GCF of 384/146, 8663/978?

GCF of 384/146, 8663/978

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 384/146, 8663/978 i.e 1/71394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 384/146, 8663/978.

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 384/146,8663/978?

Given fractions are 384/146,8663/978

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 384/146,8663/978, numerators are 384,8663

Denominators are 146,978

The GCF of 384,8663 is 1 .

LCM of 146,978 is 71394.

The greatest common factor of 384/146,8663/978 = [GCF of 384,8663]/[LCM of 146,978]= 1/71394

Therefore, the GCF of 384/146,8663/978 is 1/71394.

Greatest Common Factor of 384,8663

To find the highest common factor of 384,8663, we have to find the factors of both numbers and list the highest common factor.

The factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

The factors of 8663 are 1, 8663

The HCF of 384,8663 is 1.

Lets's calculate GCF of 384,8663

Greatest Common Factor (GCF) of 384,8663 By Common Division

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

Greatest Common Factor of 384,8663 By Matching Biggest Common Factor Method

Now, list down the factors of 384

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Now, list down the factors of 8663

1,8663

Greatest Common Factor

We found the factors 384,8663 . The biggest common factor number is the GCF number.
So the greatest common factor 384,8663 is 1.

Lets's calculate LCM of 146,978

Lowest Common Multiple of 146,978 using Common Division

2	146, 978
	73, 489

∴ So the LCM of the given numbers is 2 x 73 x 489 = 71394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71394

Therefore, the GCF of Fractions 384/146,8663/978 is 1/71394

Least Common Multiple of 146,978 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 146,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,978) = 2

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

GCF(146,978) x common factors =2 x 1 = 2

LCM(146,978) = ( 146 × 978 ) / 2

LCM(146,978) = 142788 / 2

LCM(146,978) = 71394

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FAQs on GCF of Fractions of 384/146, 8663/978

1. What is the HCF of 384,8663?

The HCF of 384,8663 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 384/146, 8663/978?

Answer: GCF of Numerators as per given numbers 384/146, 8663/978 is

GCF of Numerators i.e. for 384,8663 is 1

LCM of denominators i.e. for 146,978 is 71394.

Thus, GCF of Fractions is 1/71394.Finally, GCF of Fractions for 384/146, 8663/978 is 1/71394.