GCF of 9899/793, 4959/216
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9899/793, 4959/216 i.e 19/171288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9899/793, 4959/216.
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 9899/793,4959/216?
Given fractions are 9899/793,4959/216
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 9899/793,4959/216, numerators are 9899,4959
Denominators are 793,216
The GCF of 9899,4959 is 19 .
LCM of 793,216 is 171288.
The greatest common factor of 9899/793,4959/216 = [GCF of 9899,4959]/[LCM of 793,216]= 19/171288
Therefore, the GCF of 9899/793,4959/216 is 19/171288.
To find the highest common factor of 9899,4959, we have to find the factors of both numbers and list the highest common factor.
The factors of 9899 are 1, 19, 521, 9899
The factors of 4959 are 1, 3, 9, 19, 29, 57, 87, 171, 261, 551, 1653, 4959
The HCF of 9899,4959 is 19.
Lets's calculate GCF of 9899,4959
| 19 | 9899, 4959 |
| 521, 261 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 9899,4959 By Matching Biggest Common Factor Method
Now, list down the factors of 9899
:1,19,521,9899
Now, list down the factors of 4959
:1,3,9,19,29,57,87,171,261,551,1653,4959
Greatest Common Factor
We found the factors 9899,4959 . The biggest common factor number is the GCF number.
So the greatest common factor 9899,4959 is 19.
Lets's calculate LCM of 793,216
Given numbers has no common factors except 1. So, there LCM is their product i.e 171288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/171288
Therefore, the GCF of Fractions 9899/793,4959/216 is 19/171288
Least Common Multiple of 793,216 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 793,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,216) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,216) x common factors =1 x 1 = 1
LCM(793,216) = ( 793 × 216 ) / 1
LCM(793,216) = 171288 / 1
LCM(793,216) = 171288
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FAQs on GCF of Fractions of 9899/793, 4959/216
1. What is the HCF of 9899,4959?
The HCF of 9899,4959 is 19
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 9899/793, 4959/216?
Answer: GCF of Numerators as per given numbers 9899/793, 4959/216 is
GCF of Numerators i.e. for 9899,4959 is 19
LCM of denominators i.e. for 793,216 is 171288.
Thus, GCF of Fractions is 19/171288.Finally, GCF of Fractions for 9899/793, 4959/216 is 19/171288.