GCF of 7515/460, 9900/3249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7515/460, 9900/3249 i.e 45/1494540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7515/460, 9900/3249.
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 7515/460,9900/3249?
Given fractions are 7515/460,9900/3249
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 7515/460,9900/3249, numerators are 7515,9900
Denominators are 460,3249
The GCF of 7515,9900 is 45 .
LCM of 460,3249 is 1494540.
The greatest common factor of 7515/460,9900/3249 = [GCF of 7515,9900]/[LCM of 460,3249]= 45/1494540
Therefore, the GCF of 7515/460,9900/3249 is 45/1494540.
To find the highest common factor of 7515,9900, we have to find the factors of both numbers and list the highest common factor.
The factors of 7515 are 1, 3, 5, 9, 15, 45, 167, 501, 835, 1503, 2505, 7515
The factors of 9900 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300, 4950, 9900
The HCF of 7515,9900 is 45.
Lets's calculate GCF of 7515,9900
| 3 | 7515, 9900 |
| 3 | 2505, 3300 |
| 5 | 835, 1100 |
| 167, 220 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
Greatest Common Factor of 7515,9900 By Matching Biggest Common Factor Method
Now, list down the factors of 7515
:1,3,5,9,15,45,167,501,835,1503,2505,7515
Now, list down the factors of 9900
:1,2,3,4,5,6,9,10,11,12,15,18,20,22,25,30,33,36,44,45,50,55,60,66,75,90,99,100,110,132,150,165,180,198,220,225,275,300,330,396,450,495,550,660,825,900,990,1100,1650,1980,2475,3300,4950,9900
Greatest Common Factor
We found the factors 7515,9900 . The biggest common factor number is the GCF number.
So the greatest common factor 7515,9900 is 45.
Lets's calculate LCM of 460,3249
Given numbers has no common factors except 1. So, there LCM is their product i.e 1494540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/1494540
Therefore, the GCF of Fractions 7515/460,9900/3249 is 45/1494540
Least Common Multiple of 460,3249 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 460,3249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,3249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(460,3249) x common factors =1 x 1 = 1
LCM(460,3249) = ( 460 × 3249 ) / 1
LCM(460,3249) = 1494540 / 1
LCM(460,3249) = 1494540
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FAQs on GCF of Fractions of 7515/460, 9900/3249
1. What is the HCF of 7515,9900?
The HCF of 7515,9900 is 45
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 7515/460, 9900/3249?
Answer: GCF of Numerators as per given numbers 7515/460, 9900/3249 is
GCF of Numerators i.e. for 7515,9900 is 45
LCM of denominators i.e. for 460,3249 is 1494540.
Thus, GCF of Fractions is 45/1494540.Finally, GCF of Fractions for 7515/460, 9900/3249 is 45/1494540.