GCF of 8151/523, 9141/9782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8151/523, 9141/9782 i.e 33/5115986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8151/523, 9141/9782.
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 8151/523,9141/9782?
Given fractions are 8151/523,9141/9782
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 8151/523,9141/9782, numerators are 8151,9141
Denominators are 523,9782
The GCF of 8151,9141 is 33 .
LCM of 523,9782 is 5115986.
The greatest common factor of 8151/523,9141/9782 = [GCF of 8151,9141]/[LCM of 523,9782]= 33/5115986
Therefore, the GCF of 8151/523,9141/9782 is 33/5115986.
To find the highest common factor of 8151,9141, we have to find the factors of both numbers and list the highest common factor.
The factors of 8151 are 1, 3, 11, 13, 19, 33, 39, 57, 143, 209, 247, 429, 627, 741, 2717, 8151
The factors of 9141 are 1, 3, 11, 33, 277, 831, 3047, 9141
The HCF of 8151,9141 is 33.
Lets's calculate GCF of 8151,9141
| 3 | 8151, 9141 |
| 11 | 2717, 3047 |
| 247, 277 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 8151,9141 By Matching Biggest Common Factor Method
Now, list down the factors of 8151
:1,3,11,13,19,33,39,57,143,209,247,429,627,741,2717,8151
Now, list down the factors of 9141
:1,3,11,33,277,831,3047,9141
Greatest Common Factor
We found the factors 8151,9141 . The biggest common factor number is the GCF number.
So the greatest common factor 8151,9141 is 33.
Lets's calculate LCM of 523,9782
Given numbers has no common factors except 1. So, there LCM is their product i.e 5115986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/5115986
Therefore, the GCF of Fractions 8151/523,9141/9782 is 33/5115986
Least Common Multiple of 523,9782 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 523,9782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,9782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,9782) x common factors =1 x 1 = 1
LCM(523,9782) = ( 523 × 9782 ) / 1
LCM(523,9782) = 5115986 / 1
LCM(523,9782) = 5115986
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8151/523, 9141/9782
1. What is the HCF of 8151,9141?
The HCF of 8151,9141 is 33
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 8151/523, 9141/9782?
Answer: GCF of Numerators as per given numbers 8151/523, 9141/9782 is
GCF of Numerators i.e. for 8151,9141 is 33
LCM of denominators i.e. for 523,9782 is 5115986.
Thus, GCF of Fractions is 33/5115986.Finally, GCF of Fractions for 8151/523, 9141/9782 is 33/5115986.