GCF of 8866/232, 3201/7047
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8866/232, 3201/7047 i.e 11/56376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8866/232, 3201/7047.
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 8866/232,3201/7047?
Given fractions are 8866/232,3201/7047
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 8866/232,3201/7047, numerators are 8866,3201
Denominators are 232,7047
The GCF of 8866,3201 is 11 .
LCM of 232,7047 is 56376.
The greatest common factor of 8866/232,3201/7047 = [GCF of 8866,3201]/[LCM of 232,7047]= 11/56376
Therefore, the GCF of 8866/232,3201/7047 is 11/56376.
To find the highest common factor of 8866,3201, we have to find the factors of both numbers and list the highest common factor.
The factors of 8866 are 1, 2, 11, 13, 22, 26, 31, 62, 143, 286, 341, 403, 682, 806, 4433, 8866
The factors of 3201 are 1, 3, 11, 33, 97, 291, 1067, 3201
The HCF of 8866,3201 is 11.
Lets's calculate GCF of 8866,3201
| 11 | 8866, 3201 |
| 806, 291 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8866,3201 By Matching Biggest Common Factor Method
Now, list down the factors of 8866
:1,2,11,13,22,26,31,62,143,286,341,403,682,806,4433,8866
Now, list down the factors of 3201
:1,3,11,33,97,291,1067,3201
Greatest Common Factor
We found the factors 8866,3201 . The biggest common factor number is the GCF number.
So the greatest common factor 8866,3201 is 11.
Lets's calculate LCM of 232,7047
| 29 | 232, 7047 |
| 8, 243 |
∴ So the LCM of the given numbers is 29 x 8 x 243 = 56376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/56376
Therefore, the GCF of Fractions 8866/232,3201/7047 is 11/56376
Least Common Multiple of 232,7047 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 232,7047 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,7047) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(232,7047) x common factors =29 x 1 = 29
LCM(232,7047) = ( 232 × 7047 ) / 29
LCM(232,7047) = 1634904 / 29
LCM(232,7047) = 56376
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FAQs on GCF of Fractions of 8866/232, 3201/7047
1. What is the HCF of 8866,3201?
The HCF of 8866,3201 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 8866/232, 3201/7047?
Answer: GCF of Numerators as per given numbers 8866/232, 3201/7047 is
GCF of Numerators i.e. for 8866,3201 is 11
LCM of denominators i.e. for 232,7047 is 56376.
Thus, GCF of Fractions is 11/56376.Finally, GCF of Fractions for 8866/232, 3201/7047 is 11/56376.