How to Find GCF of 660/863, 728/241?

GCF of 660/863, 728/241

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 660/863, 728/241 i.e 4/207983 easily. The following is the detailed procedure to determine the greatest common factor of fractions 660/863, 728/241.

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 660/863,728/241?

Given fractions are 660/863,728/241

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 660/863,728/241, numerators are 660,728

Denominators are 863,241

The GCF of 660,728 is 4 .

LCM of 863,241 is 207983.

The greatest common factor of 660/863,728/241 = [GCF of 660,728]/[LCM of 863,241]= 4/207983

Therefore, the GCF of 660/863,728/241 is 4/207983.

Greatest Common Factor of 660,728

To find the highest common factor of 660,728, we have to find the factors of both numbers and list the highest common factor.

The factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

The HCF of 660,728 is 4.

Lets's calculate GCF of 660,728

Greatest Common Factor (GCF) of 660,728 By Common Division

2	660, 728
2	330, 364
	165, 182

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

Greatest Common Factor of 660,728 By Matching Biggest Common Factor Method

Now, list down the factors of 660

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Now, list down the factors of 728

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 660,728 . The biggest common factor number is the GCF number.
So the greatest common factor 660,728 is 4.

Lets's calculate LCM of 863,241

Lowest Common Multiple of 863,241 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 207983

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/207983

Therefore, the GCF of Fractions 660/863,728/241 is 4/207983

Least Common Multiple of 863,241 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 863,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(863,241) = 1

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

GCF(863,241) x common factors =1 x 1 = 1

LCM(863,241) = ( 863 × 241 ) / 1

LCM(863,241) = 207983 / 1

LCM(863,241) = 207983

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FAQs on GCF of Fractions of 660/863, 728/241

1. What is the HCF of 660,728?

The HCF of 660,728 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 660/863, 728/241?

Answer: GCF of Numerators as per given numbers 660/863, 728/241 is

GCF of Numerators i.e. for 660,728 is 4

LCM of denominators i.e. for 863,241 is 207983.

Thus, GCF of Fractions is 4/207983.Finally, GCF of Fractions for 660/863, 728/241 is 4/207983.