GCF of 9815/381, 9060/7406
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9815/381, 9060/7406 i.e 755/2821686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9815/381, 9060/7406.
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 9815/381,9060/7406?
Given fractions are 9815/381,9060/7406
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 9815/381,9060/7406, numerators are 9815,9060
Denominators are 381,7406
The GCF of 9815,9060 is 755 .
LCM of 381,7406 is 2821686.
The greatest common factor of 9815/381,9060/7406 = [GCF of 9815,9060]/[LCM of 381,7406]= 755/2821686
Therefore, the GCF of 9815/381,9060/7406 is 755/2821686.
To find the highest common factor of 9815,9060, we have to find the factors of both numbers and list the highest common factor.
The factors of 9815 are 1, 5, 13, 65, 151, 755, 1963, 9815
The factors of 9060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 151, 302, 453, 604, 755, 906, 1510, 1812, 2265, 3020, 4530, 9060
The HCF of 9815,9060 is 755.
Lets's calculate GCF of 9815,9060
| 5 | 9815, 9060 |
| 151 | 1963, 1812 |
| 13, 12 |
∴ So the GCF of the given numbers is 5 x 151 = 755
Greatest Common Factor of 9815,9060 By Matching Biggest Common Factor Method
Now, list down the factors of 9815
:1,5,13,65,151,755,1963,9815
Now, list down the factors of 9060
:1,2,3,4,5,6,10,12,15,20,30,60,151,302,453,604,755,906,1510,1812,2265,3020,4530,9060
Greatest Common Factor
We found the factors 9815,9060 . The biggest common factor number is the GCF number.
So the greatest common factor 9815,9060 is 755.
Lets's calculate LCM of 381,7406
Given numbers has no common factors except 1. So, there LCM is their product i.e 2821686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 755/2821686
Therefore, the GCF of Fractions 9815/381,9060/7406 is 755/2821686
Least Common Multiple of 381,7406 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 381,7406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,7406) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(381,7406) x common factors =1 x 1 = 1
LCM(381,7406) = ( 381 × 7406 ) / 1
LCM(381,7406) = 2821686 / 1
LCM(381,7406) = 2821686
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FAQs on GCF of Fractions of 9815/381, 9060/7406
1. What is the HCF of 9815,9060?
The HCF of 9815,9060 is 755
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 9815/381, 9060/7406?
Answer: GCF of Numerators as per given numbers 9815/381, 9060/7406 is
GCF of Numerators i.e. for 9815,9060 is 755
LCM of denominators i.e. for 381,7406 is 2821686.
Thus, GCF of Fractions is 755/2821686.Finally, GCF of Fractions for 9815/381, 9060/7406 is 755/2821686.