GCF of 8217/501, 7848/3909
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8217/501, 7848/3909 i.e 9/652803 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8217/501, 7848/3909.
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 8217/501,7848/3909?
Given fractions are 8217/501,7848/3909
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 8217/501,7848/3909, numerators are 8217,7848
Denominators are 501,3909
The GCF of 8217,7848 is 9 .
LCM of 501,3909 is 652803.
The greatest common factor of 8217/501,7848/3909 = [GCF of 8217,7848]/[LCM of 501,3909]= 9/652803
Therefore, the GCF of 8217/501,7848/3909 is 9/652803.
To find the highest common factor of 8217,7848, we have to find the factors of both numbers and list the highest common factor.
The factors of 8217 are 1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 8217
The factors of 7848 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 109, 218, 327, 436, 654, 872, 981, 1308, 1962, 2616, 3924, 7848
The HCF of 8217,7848 is 9.
Lets's calculate GCF of 8217,7848
| 3 | 8217, 7848 |
| 3 | 2739, 2616 |
| 913, 872 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 8217,7848 By Matching Biggest Common Factor Method
Now, list down the factors of 8217
:1,3,9,11,33,83,99,249,747,913,2739,8217
Now, list down the factors of 7848
:1,2,3,4,6,8,9,12,18,24,36,72,109,218,327,436,654,872,981,1308,1962,2616,3924,7848
Greatest Common Factor
We found the factors 8217,7848 . The biggest common factor number is the GCF number.
So the greatest common factor 8217,7848 is 9.
Lets's calculate LCM of 501,3909
| 3 | 501, 3909 |
| 167, 1303 |
∴ So the LCM of the given numbers is 3 x 167 x 1303 = 652803
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/652803
Therefore, the GCF of Fractions 8217/501,7848/3909 is 9/652803
Least Common Multiple of 501,3909 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 501,3909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,3909) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(501,3909) x common factors =3 x 1 = 3
LCM(501,3909) = ( 501 × 3909 ) / 3
LCM(501,3909) = 1958409 / 3
LCM(501,3909) = 652803
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FAQs on GCF of Fractions of 8217/501, 7848/3909
1. What is the HCF of 8217,7848?
The HCF of 8217,7848 is 9
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 8217/501, 7848/3909?
Answer: GCF of Numerators as per given numbers 8217/501, 7848/3909 is
GCF of Numerators i.e. for 8217,7848 is 9
LCM of denominators i.e. for 501,3909 is 652803.
Thus, GCF of Fractions is 9/652803.Finally, GCF of Fractions for 8217/501, 7848/3909 is 9/652803.