How to Find GCF of 9928/496, 8464/2078?

GCF of 9928/496, 8464/2078

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 9928/496, 8464/2078 i.e 8/515344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9928/496, 8464/2078.

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 9928/496,8464/2078?

Given fractions are 9928/496,8464/2078

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 9928/496,8464/2078, numerators are 9928,8464

Denominators are 496,2078

The GCF of 9928,8464 is 8 .

LCM of 496,2078 is 515344.

The greatest common factor of 9928/496,8464/2078 = [GCF of 9928,8464]/[LCM of 496,2078]= 8/515344

Therefore, the GCF of 9928/496,8464/2078 is 8/515344.

Greatest Common Factor of 9928,8464

To find the highest common factor of 9928,8464, we have to find the factors of both numbers and list the highest common factor.

The factors of 9928 are 1, 2, 4, 8, 17, 34, 68, 73, 136, 146, 292, 584, 1241, 2482, 4964, 9928

The factors of 8464 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368, 529, 1058, 2116, 4232, 8464

The HCF of 9928,8464 is 8.

Lets's calculate GCF of 9928,8464

Greatest Common Factor (GCF) of 9928,8464 By Common Division

2	9928, 8464
2	4964, 4232
2	2482, 2116
	1241, 1058

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

Greatest Common Factor of 9928,8464 By Matching Biggest Common Factor Method

Now, list down the factors of 9928

1,2,4,8,17,34,68,73,136,146,292,584,1241,2482,4964,9928

Now, list down the factors of 8464

1,2,4,8,16,23,46,92,184,368,529,1058,2116,4232,8464

Greatest Common Factor

We found the factors 9928,8464 . The biggest common factor number is the GCF number.
So the greatest common factor 9928,8464 is 8.

Lets's calculate LCM of 496,2078

Lowest Common Multiple of 496,2078 using Common Division

2	496, 2078
	248, 1039

∴ So the LCM of the given numbers is 2 x 248 x 1039 = 515344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/515344

Therefore, the GCF of Fractions 9928/496,8464/2078 is 8/515344

Least Common Multiple of 496,2078 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 496,2078 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,2078) = 2

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

GCF(496,2078) x common factors =2 x 1 = 2

LCM(496,2078) = ( 496 × 2078 ) / 2

LCM(496,2078) = 1030688 / 2

LCM(496,2078) = 515344

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FAQs on GCF of Fractions of 9928/496, 8464/2078

1. What is the HCF of 9928,8464?

The HCF of 9928,8464 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 9928/496, 8464/2078?

Answer: GCF of Numerators as per given numbers 9928/496, 8464/2078 is

GCF of Numerators i.e. for 9928,8464 is 8

LCM of denominators i.e. for 496,2078 is 515344.

Thus, GCF of Fractions is 8/515344.Finally, GCF of Fractions for 9928/496, 8464/2078 is 8/515344.