GCF of 7215/382, 8060/4457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7215/382, 8060/4457 i.e 65/1702574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7215/382, 8060/4457.
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 7215/382,8060/4457?
Given fractions are 7215/382,8060/4457
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 7215/382,8060/4457, numerators are 7215,8060
Denominators are 382,4457
The GCF of 7215,8060 is 65 .
LCM of 382,4457 is 1702574.
The greatest common factor of 7215/382,8060/4457 = [GCF of 7215,8060]/[LCM of 382,4457]= 65/1702574
Therefore, the GCF of 7215/382,8060/4457 is 65/1702574.
To find the highest common factor of 7215,8060, we have to find the factors of both numbers and list the highest common factor.
The factors of 7215 are 1, 3, 5, 13, 15, 37, 39, 65, 111, 185, 195, 481, 555, 1443, 2405, 7215
The factors of 8060 are 1, 2, 4, 5, 10, 13, 20, 26, 31, 52, 62, 65, 124, 130, 155, 260, 310, 403, 620, 806, 1612, 2015, 4030, 8060
The HCF of 7215,8060 is 65.
Lets's calculate GCF of 7215,8060
| 5 | 7215, 8060 |
| 13 | 1443, 1612 |
| 111, 124 |
∴ So the GCF of the given numbers is 5 x 13 = 65
Greatest Common Factor of 7215,8060 By Matching Biggest Common Factor Method
Now, list down the factors of 7215
:1,3,5,13,15,37,39,65,111,185,195,481,555,1443,2405,7215
Now, list down the factors of 8060
:1,2,4,5,10,13,20,26,31,52,62,65,124,130,155,260,310,403,620,806,1612,2015,4030,8060
Greatest Common Factor
We found the factors 7215,8060 . The biggest common factor number is the GCF number.
So the greatest common factor 7215,8060 is 65.
Lets's calculate LCM of 382,4457
Given numbers has no common factors except 1. So, there LCM is their product i.e 1702574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/1702574
Therefore, the GCF of Fractions 7215/382,8060/4457 is 65/1702574
Least Common Multiple of 382,4457 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 382,4457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,4457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(382,4457) x common factors =1 x 1 = 1
LCM(382,4457) = ( 382 × 4457 ) / 1
LCM(382,4457) = 1702574 / 1
LCM(382,4457) = 1702574
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FAQs on GCF of Fractions of 7215/382, 8060/4457
1. What is the HCF of 7215,8060?
The HCF of 7215,8060 is 65
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 7215/382, 8060/4457?
Answer: GCF of Numerators as per given numbers 7215/382, 8060/4457 is
GCF of Numerators i.e. for 7215,8060 is 65
LCM of denominators i.e. for 382,4457 is 1702574.
Thus, GCF of Fractions is 65/1702574.Finally, GCF of Fractions for 7215/382, 8060/4457 is 65/1702574.