GCF of 9381/48, 4341/516
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9381/48, 4341/516 i.e 3/2064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9381/48, 4341/516.
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 9381/48,4341/516?
Given fractions are 9381/48,4341/516
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 9381/48,4341/516, numerators are 9381,4341
Denominators are 48,516
The GCF of 9381,4341 is 3 .
LCM of 48,516 is 2064.
The greatest common factor of 9381/48,4341/516 = [GCF of 9381,4341]/[LCM of 48,516]= 3/2064
Therefore, the GCF of 9381/48,4341/516 is 3/2064.
To find the highest common factor of 9381,4341, we have to find the factors of both numbers and list the highest common factor.
The factors of 9381 are 1, 3, 53, 59, 159, 177, 3127, 9381
The factors of 4341 are 1, 3, 1447, 4341
The HCF of 9381,4341 is 3.
Lets's calculate GCF of 9381,4341
| 3 | 9381, 4341 |
| 3127, 1447 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9381,4341 By Matching Biggest Common Factor Method
Now, list down the factors of 9381
:1,3,53,59,159,177,3127,9381
Now, list down the factors of 4341
:1,3,1447,4341
Greatest Common Factor
We found the factors 9381,4341 . The biggest common factor number is the GCF number.
So the greatest common factor 9381,4341 is 3.
Lets's calculate LCM of 48,516
| 2 | 48, 516 |
| 2 | 24, 258 |
| 3 | 12, 129 |
| 4, 43 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 43 = 2064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2064
Therefore, the GCF of Fractions 9381/48,4341/516 is 3/2064
Least Common Multiple of 48,516 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 48,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,516) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(48,516) x common factors =12 x 1 = 12
LCM(48,516) = ( 48 × 516 ) / 12
LCM(48,516) = 24768 / 12
LCM(48,516) = 2064
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9381/48, 4341/516
1. What is the HCF of 9381,4341?
The HCF of 9381,4341 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 9381/48, 4341/516?
Answer: GCF of Numerators as per given numbers 9381/48, 4341/516 is
GCF of Numerators i.e. for 9381,4341 is 3
LCM of denominators i.e. for 48,516 is 2064.
Thus, GCF of Fractions is 3/2064.Finally, GCF of Fractions for 9381/48, 4341/516 is 3/2064.