GCF of 8727/991, 9891/1981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8727/991, 9891/1981 i.e 3/1963171 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8727/991, 9891/1981.
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 8727/991,9891/1981?
Given fractions are 8727/991,9891/1981
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 8727/991,9891/1981, numerators are 8727,9891
Denominators are 991,1981
The GCF of 8727,9891 is 3 .
LCM of 991,1981 is 1963171.
The greatest common factor of 8727/991,9891/1981 = [GCF of 8727,9891]/[LCM of 991,1981]= 3/1963171
Therefore, the GCF of 8727/991,9891/1981 is 3/1963171.
To find the highest common factor of 8727,9891, we have to find the factors of both numbers and list the highest common factor.
The factors of 8727 are 1, 3, 2909, 8727
The factors of 9891 are 1, 3, 7, 9, 21, 63, 157, 471, 1099, 1413, 3297, 9891
The HCF of 8727,9891 is 3.
Lets's calculate GCF of 8727,9891
| 3 | 8727, 9891 |
| 2909, 3297 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8727,9891 By Matching Biggest Common Factor Method
Now, list down the factors of 8727
:1,3,2909,8727
Now, list down the factors of 9891
:1,3,7,9,21,63,157,471,1099,1413,3297,9891
Greatest Common Factor
We found the factors 8727,9891 . The biggest common factor number is the GCF number.
So the greatest common factor 8727,9891 is 3.
Lets's calculate LCM of 991,1981
Given numbers has no common factors except 1. So, there LCM is their product i.e 1963171
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1963171
Therefore, the GCF of Fractions 8727/991,9891/1981 is 3/1963171
Least Common Multiple of 991,1981 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 991,1981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,1981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,1981) x common factors =1 x 1 = 1
LCM(991,1981) = ( 991 × 1981 ) / 1
LCM(991,1981) = 1963171 / 1
LCM(991,1981) = 1963171
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FAQs on GCF of Fractions of 8727/991, 9891/1981
1. What is the HCF of 8727,9891?
The HCF of 8727,9891 is 3
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 8727/991, 9891/1981?
Answer: GCF of Numerators as per given numbers 8727/991, 9891/1981 is
GCF of Numerators i.e. for 8727,9891 is 3
LCM of denominators i.e. for 991,1981 is 1963171.
Thus, GCF of Fractions is 3/1963171.Finally, GCF of Fractions for 8727/991, 9891/1981 is 3/1963171.