GCF of 9819/333, 8718/3123
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9819/333, 8718/3123 i.e 3/115551 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9819/333, 8718/3123.
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 9819/333,8718/3123?
Given fractions are 9819/333,8718/3123
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 9819/333,8718/3123, numerators are 9819,8718
Denominators are 333,3123
The GCF of 9819,8718 is 3 .
LCM of 333,3123 is 115551.
The greatest common factor of 9819/333,8718/3123 = [GCF of 9819,8718]/[LCM of 333,3123]= 3/115551
Therefore, the GCF of 9819/333,8718/3123 is 3/115551.
To find the highest common factor of 9819,8718, we have to find the factors of both numbers and list the highest common factor.
The factors of 9819 are 1, 3, 9, 1091, 3273, 9819
The factors of 8718 are 1, 2, 3, 6, 1453, 2906, 4359, 8718
The HCF of 9819,8718 is 3.
Lets's calculate GCF of 9819,8718
| 3 | 9819, 8718 |
| 3273, 2906 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9819,8718 By Matching Biggest Common Factor Method
Now, list down the factors of 9819
:1,3,9,1091,3273,9819
Now, list down the factors of 8718
:1,2,3,6,1453,2906,4359,8718
Greatest Common Factor
We found the factors 9819,8718 . The biggest common factor number is the GCF number.
So the greatest common factor 9819,8718 is 3.
Lets's calculate LCM of 333,3123
| 3 | 333, 3123 |
| 3 | 111, 1041 |
| 37, 347 |
∴ So the LCM of the given numbers is 3 x 3 x 37 x 347 = 115551
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/115551
Therefore, the GCF of Fractions 9819/333,8718/3123 is 3/115551
Least Common Multiple of 333,3123 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 333,3123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,3123) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(333,3123) x common factors =9 x 1 = 9
LCM(333,3123) = ( 333 × 3123 ) / 9
LCM(333,3123) = 1039959 / 9
LCM(333,3123) = 115551
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FAQs on GCF of Fractions of 9819/333, 8718/3123
1. What is the HCF of 9819,8718?
The HCF of 9819,8718 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 9819/333, 8718/3123?
Answer: GCF of Numerators as per given numbers 9819/333, 8718/3123 is
GCF of Numerators i.e. for 9819,8718 is 3
LCM of denominators i.e. for 333,3123 is 115551.
Thus, GCF of Fractions is 3/115551.Finally, GCF of Fractions for 9819/333, 8718/3123 is 3/115551.