GCF of 9613/501, 8337/216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9613/501, 8337/216 i.e 1/36072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9613/501, 8337/216.
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 9613/501,8337/216?
Given fractions are 9613/501,8337/216
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 9613/501,8337/216, numerators are 9613,8337
Denominators are 501,216
The GCF of 9613,8337 is 1 .
LCM of 501,216 is 36072.
The greatest common factor of 9613/501,8337/216 = [GCF of 9613,8337]/[LCM of 501,216]= 1/36072
Therefore, the GCF of 9613/501,8337/216 is 1/36072.
To find the highest common factor of 9613,8337, we have to find the factors of both numbers and list the highest common factor.
The factors of 9613 are 1, 9613
The factors of 8337 are 1, 3, 7, 21, 397, 1191, 2779, 8337
The HCF of 9613,8337 is 1.
Lets's calculate GCF of 9613,8337
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9613,8337 By Matching Biggest Common Factor Method
Now, list down the factors of 9613
:1,9613
Now, list down the factors of 8337
:1,3,7,21,397,1191,2779,8337
Greatest Common Factor
We found the factors 9613,8337 . The biggest common factor number is the GCF number.
So the greatest common factor 9613,8337 is 1.
Lets's calculate LCM of 501,216
| 3 | 501, 216 |
| 167, 72 |
∴ So the LCM of the given numbers is 3 x 167 x 72 = 36072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36072
Therefore, the GCF of Fractions 9613/501,8337/216 is 1/36072
Least Common Multiple of 501,216 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 501,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,216) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(501,216) x common factors =3 x 1 = 3
LCM(501,216) = ( 501 × 216 ) / 3
LCM(501,216) = 108216 / 3
LCM(501,216) = 36072
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FAQs on GCF of Fractions of 9613/501, 8337/216
1. What is the HCF of 9613,8337?
The HCF of 9613,8337 is 1
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 9613/501, 8337/216?
Answer: GCF of Numerators as per given numbers 9613/501, 8337/216 is
GCF of Numerators i.e. for 9613,8337 is 1
LCM of denominators i.e. for 501,216 is 36072.
Thus, GCF of Fractions is 1/36072.Finally, GCF of Fractions for 9613/501, 8337/216 is 1/36072.