How to Find GCF of 9929/397, 9303/7584?

GCF of 9929/397, 9303/7584

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 9929/397, 9303/7584 i.e 1/3010848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9929/397, 9303/7584.

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 9929/397,9303/7584?

Given fractions are 9929/397,9303/7584

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 9929/397,9303/7584, numerators are 9929,9303

Denominators are 397,7584

The GCF of 9929,9303 is 1 .

LCM of 397,7584 is 3010848.

The greatest common factor of 9929/397,9303/7584 = [GCF of 9929,9303]/[LCM of 397,7584]= 1/3010848

Therefore, the GCF of 9929/397,9303/7584 is 1/3010848.

Greatest Common Factor of 9929,9303

To find the highest common factor of 9929,9303, we have to find the factors of both numbers and list the highest common factor.

The factors of 9929 are 1, 9929

The factors of 9303 are 1, 3, 7, 21, 443, 1329, 3101, 9303

The HCF of 9929,9303 is 1.

Lets's calculate GCF of 9929,9303

Greatest Common Factor (GCF) of 9929,9303 By Common Division

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

Greatest Common Factor of 9929,9303 By Matching Biggest Common Factor Method

Now, list down the factors of 9929

1,9929

Now, list down the factors of 9303

1,3,7,21,443,1329,3101,9303

Greatest Common Factor

We found the factors 9929,9303 . The biggest common factor number is the GCF number.
So the greatest common factor 9929,9303 is 1.

Lets's calculate LCM of 397,7584

Lowest Common Multiple of 397,7584 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3010848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3010848

Therefore, the GCF of Fractions 9929/397,9303/7584 is 1/3010848

Least Common Multiple of 397,7584 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 397,7584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,7584) = 1

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

GCF(397,7584) x common factors =1 x 1 = 1

LCM(397,7584) = ( 397 × 7584 ) / 1

LCM(397,7584) = 3010848 / 1

LCM(397,7584) = 3010848

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FAQs on GCF of Fractions of 9929/397, 9303/7584

1. What is the HCF of 9929,9303?

The HCF of 9929,9303 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 9929/397, 9303/7584?

Answer: GCF of Numerators as per given numbers 9929/397, 9303/7584 is

GCF of Numerators i.e. for 9929,9303 is 1

LCM of denominators i.e. for 397,7584 is 3010848.

Thus, GCF of Fractions is 1/3010848.Finally, GCF of Fractions for 9929/397, 9303/7584 is 1/3010848.