How to Find GCF of 728/66, 880/327?

GCF of 728/66, 880/327

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 728/66, 880/327 i.e 8/7194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 728/66, 880/327.

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 728/66,880/327?

Given fractions are 728/66,880/327

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 728/66,880/327, numerators are 728,880

Denominators are 66,327

The GCF of 728,880 is 8 .

LCM of 66,327 is 7194.

The greatest common factor of 728/66,880/327 = [GCF of 728,880]/[LCM of 66,327]= 8/7194

Therefore, the GCF of 728/66,880/327 is 8/7194.

Greatest Common Factor of 728,880

To find the highest common factor of 728,880, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

The HCF of 728,880 is 8.

Lets's calculate GCF of 728,880

Greatest Common Factor (GCF) of 728,880 By Common Division

2	728, 880
2	364, 440
2	182, 220
	91, 110

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 728,880 By Matching Biggest Common Factor Method

Now, list down the factors of 728

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

Now, list down the factors of 880

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 728,880 . The biggest common factor number is the GCF number.
So the greatest common factor 728,880 is 8.

Lets's calculate LCM of 66,327

Lowest Common Multiple of 66,327 using Common Division

3	66, 327
	22, 109

∴ So the LCM of the given numbers is 3 x 22 x 109 = 7194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/7194

Therefore, the GCF of Fractions 728/66,880/327 is 8/7194

Least Common Multiple of 66,327 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 66,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,327) = 3

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

GCF(66,327) x common factors =3 x 1 = 3

LCM(66,327) = ( 66 × 327 ) / 3

LCM(66,327) = 21582 / 3

LCM(66,327) = 7194

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FAQs on GCF of Fractions of 728/66, 880/327

1. What is the HCF of 728,880?

The HCF of 728,880 is 8

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 728/66, 880/327?

Answer: GCF of Numerators as per given numbers 728/66, 880/327 is

GCF of Numerators i.e. for 728,880 is 8

LCM of denominators i.e. for 66,327 is 7194.

Thus, GCF of Fractions is 8/7194.Finally, GCF of Fractions for 728/66, 880/327 is 8/7194.