GCF of 9999/267, 6875/4113
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9999/267, 6875/4113 i.e 11/366057 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9999/267, 6875/4113.
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 9999/267,6875/4113?
Given fractions are 9999/267,6875/4113
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 9999/267,6875/4113, numerators are 9999,6875
Denominators are 267,4113
The GCF of 9999,6875 is 11 .
LCM of 267,4113 is 366057.
The greatest common factor of 9999/267,6875/4113 = [GCF of 9999,6875]/[LCM of 267,4113]= 11/366057
Therefore, the GCF of 9999/267,6875/4113 is 11/366057.
To find the highest common factor of 9999,6875, we have to find the factors of both numbers and list the highest common factor.
The factors of 9999 are 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999
The factors of 6875 are 1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875
The HCF of 9999,6875 is 11.
Lets's calculate GCF of 9999,6875
| 11 | 9999, 6875 |
| 909, 625 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9999,6875 By Matching Biggest Common Factor Method
Now, list down the factors of 9999
:1,3,9,11,33,99,101,303,909,1111,3333,9999
Now, list down the factors of 6875
:1,5,11,25,55,125,275,625,1375,6875
Greatest Common Factor
We found the factors 9999,6875 . The biggest common factor number is the GCF number.
So the greatest common factor 9999,6875 is 11.
Lets's calculate LCM of 267,4113
| 3 | 267, 4113 |
| 89, 1371 |
∴ So the LCM of the given numbers is 3 x 89 x 1371 = 366057
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/366057
Therefore, the GCF of Fractions 9999/267,6875/4113 is 11/366057
Least Common Multiple of 267,4113 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 267,4113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,4113) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(267,4113) x common factors =3 x 1 = 3
LCM(267,4113) = ( 267 × 4113 ) / 3
LCM(267,4113) = 1098171 / 3
LCM(267,4113) = 366057
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FAQs on GCF of Fractions of 9999/267, 6875/4113
1. What is the HCF of 9999,6875?
The HCF of 9999,6875 is 11
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 9999/267, 6875/4113?
Answer: GCF of Numerators as per given numbers 9999/267, 6875/4113 is
GCF of Numerators i.e. for 9999,6875 is 11
LCM of denominators i.e. for 267,4113 is 366057.
Thus, GCF of Fractions is 11/366057.Finally, GCF of Fractions for 9999/267, 6875/4113 is 11/366057.