GCF of 9303/550, 4686/6321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9303/550, 4686/6321 i.e 3/3476550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9303/550, 4686/6321.
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 9303/550,4686/6321?
Given fractions are 9303/550,4686/6321
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 9303/550,4686/6321, numerators are 9303,4686
Denominators are 550,6321
The GCF of 9303,4686 is 3 .
LCM of 550,6321 is 3476550.
The greatest common factor of 9303/550,4686/6321 = [GCF of 9303,4686]/[LCM of 550,6321]= 3/3476550
Therefore, the GCF of 9303/550,4686/6321 is 3/3476550.
To find the highest common factor of 9303,4686, we have to find the factors of both numbers and list the highest common factor.
The factors of 9303 are 1, 3, 7, 21, 443, 1329, 3101, 9303
The factors of 4686 are 1, 2, 3, 6, 11, 22, 33, 66, 71, 142, 213, 426, 781, 1562, 2343, 4686
The HCF of 9303,4686 is 3.
Lets's calculate GCF of 9303,4686
| 3 | 9303, 4686 |
| 3101, 1562 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9303,4686 By Matching Biggest Common Factor Method
Now, list down the factors of 9303
:1,3,7,21,443,1329,3101,9303
Now, list down the factors of 4686
:1,2,3,6,11,22,33,66,71,142,213,426,781,1562,2343,4686
Greatest Common Factor
We found the factors 9303,4686 . The biggest common factor number is the GCF number.
So the greatest common factor 9303,4686 is 3.
Lets's calculate LCM of 550,6321
Given numbers has no common factors except 1. So, there LCM is their product i.e 3476550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3476550
Therefore, the GCF of Fractions 9303/550,4686/6321 is 3/3476550
Least Common Multiple of 550,6321 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 550,6321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,6321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(550,6321) x common factors =1 x 1 = 1
LCM(550,6321) = ( 550 × 6321 ) / 1
LCM(550,6321) = 3476550 / 1
LCM(550,6321) = 3476550
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FAQs on GCF of Fractions of 9303/550, 4686/6321
1. What is the HCF of 9303,4686?
The HCF of 9303,4686 is 3
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 9303/550, 4686/6321?
Answer: GCF of Numerators as per given numbers 9303/550, 4686/6321 is
GCF of Numerators i.e. for 9303,4686 is 3
LCM of denominators i.e. for 550,6321 is 3476550.
Thus, GCF of Fractions is 3/3476550.Finally, GCF of Fractions for 9303/550, 4686/6321 is 3/3476550.