GCF of 9330/624, 6585/2424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9330/624, 6585/2424 i.e 15/63024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9330/624, 6585/2424.
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 9330/624,6585/2424?
Given fractions are 9330/624,6585/2424
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 9330/624,6585/2424, numerators are 9330,6585
Denominators are 624,2424
The GCF of 9330,6585 is 15 .
LCM of 624,2424 is 63024.
The greatest common factor of 9330/624,6585/2424 = [GCF of 9330,6585]/[LCM of 624,2424]= 15/63024
Therefore, the GCF of 9330/624,6585/2424 is 15/63024.
To find the highest common factor of 9330,6585, we have to find the factors of both numbers and list the highest common factor.
The factors of 9330 are 1, 2, 3, 5, 6, 10, 15, 30, 311, 622, 933, 1555, 1866, 3110, 4665, 9330
The factors of 6585 are 1, 3, 5, 15, 439, 1317, 2195, 6585
The HCF of 9330,6585 is 15.
Lets's calculate GCF of 9330,6585
| 3 | 9330, 6585 |
| 5 | 3110, 2195 |
| 622, 439 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 9330,6585 By Matching Biggest Common Factor Method
Now, list down the factors of 9330
:1,2,3,5,6,10,15,30,311,622,933,1555,1866,3110,4665,9330
Now, list down the factors of 6585
:1,3,5,15,439,1317,2195,6585
Greatest Common Factor
We found the factors 9330,6585 . The biggest common factor number is the GCF number.
So the greatest common factor 9330,6585 is 15.
Lets's calculate LCM of 624,2424
| 2 | 624, 2424 |
| 2 | 312, 1212 |
| 2 | 156, 606 |
| 3 | 78, 303 |
| 26, 101 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 26 x 101 = 63024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/63024
Therefore, the GCF of Fractions 9330/624,6585/2424 is 15/63024
Least Common Multiple of 624,2424 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 624,2424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,2424) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(624,2424) x common factors =24 x 1 = 24
LCM(624,2424) = ( 624 × 2424 ) / 24
LCM(624,2424) = 1512576 / 24
LCM(624,2424) = 63024
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FAQs on GCF of Fractions of 9330/624, 6585/2424
1. What is the HCF of 9330,6585?
The HCF of 9330,6585 is 15
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 9330/624, 6585/2424?
Answer: GCF of Numerators as per given numbers 9330/624, 6585/2424 is
GCF of Numerators i.e. for 9330,6585 is 15
LCM of denominators i.e. for 624,2424 is 63024.
Thus, GCF of Fractions is 15/63024.Finally, GCF of Fractions for 9330/624, 6585/2424 is 15/63024.