GCF of 8271/982, 6051/8864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8271/982, 6051/8864 i.e 3/4352224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8271/982, 6051/8864.
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 8271/982,6051/8864?
Given fractions are 8271/982,6051/8864
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 8271/982,6051/8864, numerators are 8271,6051
Denominators are 982,8864
The GCF of 8271,6051 is 3 .
LCM of 982,8864 is 4352224.
The greatest common factor of 8271/982,6051/8864 = [GCF of 8271,6051]/[LCM of 982,8864]= 3/4352224
Therefore, the GCF of 8271/982,6051/8864 is 3/4352224.
To find the highest common factor of 8271,6051, we have to find the factors of both numbers and list the highest common factor.
The factors of 8271 are 1, 3, 9, 919, 2757, 8271
The factors of 6051 are 1, 3, 2017, 6051
The HCF of 8271,6051 is 3.
Lets's calculate GCF of 8271,6051
| 3 | 8271, 6051 |
| 2757, 2017 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8271,6051 By Matching Biggest Common Factor Method
Now, list down the factors of 8271
:1,3,9,919,2757,8271
Now, list down the factors of 6051
:1,3,2017,6051
Greatest Common Factor
We found the factors 8271,6051 . The biggest common factor number is the GCF number.
So the greatest common factor 8271,6051 is 3.
Lets's calculate LCM of 982,8864
| 2 | 982, 8864 |
| 491, 4432 |
∴ So the LCM of the given numbers is 2 x 491 x 4432 = 4352224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4352224
Therefore, the GCF of Fractions 8271/982,6051/8864 is 3/4352224
Least Common Multiple of 982,8864 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 982,8864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,8864) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,8864) x common factors =2 x 1 = 2
LCM(982,8864) = ( 982 × 8864 ) / 2
LCM(982,8864) = 8704448 / 2
LCM(982,8864) = 4352224
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FAQs on GCF of Fractions of 8271/982, 6051/8864
1. What is the HCF of 8271,6051?
The HCF of 8271,6051 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 8271/982, 6051/8864?
Answer: GCF of Numerators as per given numbers 8271/982, 6051/8864 is
GCF of Numerators i.e. for 8271,6051 is 3
LCM of denominators i.e. for 982,8864 is 4352224.
Thus, GCF of Fractions is 3/4352224.Finally, GCF of Fractions for 8271/982, 6051/8864 is 3/4352224.