GCF of 8215/984, 9330/2787
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8215/984, 9330/2787 i.e 5/914136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8215/984, 9330/2787.
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 8215/984,9330/2787?
Given fractions are 8215/984,9330/2787
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 8215/984,9330/2787, numerators are 8215,9330
Denominators are 984,2787
The GCF of 8215,9330 is 5 .
LCM of 984,2787 is 914136.
The greatest common factor of 8215/984,9330/2787 = [GCF of 8215,9330]/[LCM of 984,2787]= 5/914136
Therefore, the GCF of 8215/984,9330/2787 is 5/914136.
To find the highest common factor of 8215,9330, we have to find the factors of both numbers and list the highest common factor.
The factors of 8215 are 1, 5, 31, 53, 155, 265, 1643, 8215
The factors of 9330 are 1, 2, 3, 5, 6, 10, 15, 30, 311, 622, 933, 1555, 1866, 3110, 4665, 9330
The HCF of 8215,9330 is 5.
Lets's calculate GCF of 8215,9330
| 5 | 8215, 9330 |
| 1643, 1866 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8215,9330 By Matching Biggest Common Factor Method
Now, list down the factors of 8215
:1,5,31,53,155,265,1643,8215
Now, list down the factors of 9330
:1,2,3,5,6,10,15,30,311,622,933,1555,1866,3110,4665,9330
Greatest Common Factor
We found the factors 8215,9330 . The biggest common factor number is the GCF number.
So the greatest common factor 8215,9330 is 5.
Lets's calculate LCM of 984,2787
| 3 | 984, 2787 |
| 328, 929 |
∴ So the LCM of the given numbers is 3 x 328 x 929 = 914136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/914136
Therefore, the GCF of Fractions 8215/984,9330/2787 is 5/914136
Least Common Multiple of 984,2787 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 984,2787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,2787) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(984,2787) x common factors =3 x 1 = 3
LCM(984,2787) = ( 984 × 2787 ) / 3
LCM(984,2787) = 2742408 / 3
LCM(984,2787) = 914136
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FAQs on GCF of Fractions of 8215/984, 9330/2787
1. What is the HCF of 8215,9330?
The HCF of 8215,9330 is 5
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 8215/984, 9330/2787?
Answer: GCF of Numerators as per given numbers 8215/984, 9330/2787 is
GCF of Numerators i.e. for 8215,9330 is 5
LCM of denominators i.e. for 984,2787 is 914136.
Thus, GCF of Fractions is 5/914136.Finally, GCF of Fractions for 8215/984, 9330/2787 is 5/914136.