How to Find GCF of 8605/320, 9116/4704?

GCF of 8605/320, 9116/4704

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 8605/320, 9116/4704 i.e 1/47040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8605/320, 9116/4704.

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 8605/320,9116/4704?

Given fractions are 8605/320,9116/4704

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 8605/320,9116/4704, numerators are 8605,9116

Denominators are 320,4704

The GCF of 8605,9116 is 1 .

LCM of 320,4704 is 47040.

The greatest common factor of 8605/320,9116/4704 = [GCF of 8605,9116]/[LCM of 320,4704]= 1/47040

Therefore, the GCF of 8605/320,9116/4704 is 1/47040.

Greatest Common Factor of 8605,9116

To find the highest common factor of 8605,9116, we have to find the factors of both numbers and list the highest common factor.

The factors of 8605 are 1, 5, 1721, 8605

The factors of 9116 are 1, 2, 4, 43, 53, 86, 106, 172, 212, 2279, 4558, 9116

The HCF of 8605,9116 is 1.

Lets's calculate GCF of 8605,9116

Greatest Common Factor (GCF) of 8605,9116 By Common Division

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

Greatest Common Factor of 8605,9116 By Matching Biggest Common Factor Method

Now, list down the factors of 8605

1,5,1721,8605

Now, list down the factors of 9116

1,2,4,43,53,86,106,172,212,2279,4558,9116

Greatest Common Factor

We found the factors 8605,9116 . The biggest common factor number is the GCF number.
So the greatest common factor 8605,9116 is 1.

Lets's calculate LCM of 320,4704

Lowest Common Multiple of 320,4704 using Common Division

2	320, 4704
2	160, 2352
2	80, 1176
2	40, 588
2	20, 294
	10, 147

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 10 x 147 = 47040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47040

Therefore, the GCF of Fractions 8605/320,9116/4704 is 1/47040

Least Common Multiple of 320,4704 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 320,4704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,4704) = 32

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

GCF(320,4704) x common factors =32 x 1 = 32

LCM(320,4704) = ( 320 × 4704 ) / 32

LCM(320,4704) = 1505280 / 32

LCM(320,4704) = 47040

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FAQs on GCF of Fractions of 8605/320, 9116/4704

1. What is the HCF of 8605,9116?

The HCF of 8605,9116 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 8605/320, 9116/4704?

Answer: GCF of Numerators as per given numbers 8605/320, 9116/4704 is

GCF of Numerators i.e. for 8605,9116 is 1

LCM of denominators i.e. for 320,4704 is 47040.

Thus, GCF of Fractions is 1/47040.Finally, GCF of Fractions for 8605/320, 9116/4704 is 1/47040.