How to Find GCF of 488/954, 8296/896?

GCF of 488/954, 8296/896

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 488/954, 8296/896 i.e 488/427392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 488/954, 8296/896.

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 488/954,8296/896?

Given fractions are 488/954,8296/896

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 488/954,8296/896, numerators are 488,8296

Denominators are 954,896

The GCF of 488,8296 is 488 .

LCM of 954,896 is 427392.

The greatest common factor of 488/954,8296/896 = [GCF of 488,8296]/[LCM of 954,896]= 488/427392

Therefore, the GCF of 488/954,8296/896 is 488/427392.

Greatest Common Factor of 488,8296

To find the highest common factor of 488,8296, we have to find the factors of both numbers and list the highest common factor.

The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488

The factors of 8296 are 1, 2, 4, 8, 17, 34, 61, 68, 122, 136, 244, 488, 1037, 2074, 4148, 8296

The HCF of 488,8296 is 488.

Lets's calculate GCF of 488,8296

Greatest Common Factor (GCF) of 488,8296 By Common Division

2	488, 8296
2	244, 4148
2	122, 2074
61	61, 1037
	1, 17

∴ So the GCF of the given numbers is 2 x 2 x 2 x 61 = 488

Greatest Common Factor of 488,8296 By Matching Biggest Common Factor Method

Now, list down the factors of 488

1,2,4,8,61,122,244,488

Now, list down the factors of 8296

1,2,4,8,17,34,61,68,122,136,244,488,1037,2074,4148,8296

Greatest Common Factor

We found the factors 488,8296 . The biggest common factor number is the GCF number.
So the greatest common factor 488,8296 is 488.

Lets's calculate LCM of 954,896

Lowest Common Multiple of 954,896 using Common Division

2	954, 896
	477, 448

∴ So the LCM of the given numbers is 2 x 477 x 448 = 427392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 488/427392

Therefore, the GCF of Fractions 488/954,8296/896 is 488/427392

Least Common Multiple of 954,896 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 954,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(954,896) = 2

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

GCF(954,896) x common factors =2 x 1 = 2

LCM(954,896) = ( 954 × 896 ) / 2

LCM(954,896) = 854784 / 2

LCM(954,896) = 427392

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FAQs on GCF of Fractions of 488/954, 8296/896

1. What is the HCF of 488,8296?

The HCF of 488,8296 is 488

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 488/954, 8296/896?

Answer: GCF of Numerators as per given numbers 488/954, 8296/896 is

GCF of Numerators i.e. for 488,8296 is 488

LCM of denominators i.e. for 954,896 is 427392.

Thus, GCF of Fractions is 488/427392.Finally, GCF of Fractions for 488/954, 8296/896 is 488/427392.