GCF of 9471/332, 1067/8625
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9471/332, 1067/8625 i.e 11/2863500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9471/332, 1067/8625.
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 9471/332,1067/8625?
Given fractions are 9471/332,1067/8625
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 9471/332,1067/8625, numerators are 9471,1067
Denominators are 332,8625
The GCF of 9471,1067 is 11 .
LCM of 332,8625 is 2863500.
The greatest common factor of 9471/332,1067/8625 = [GCF of 9471,1067]/[LCM of 332,8625]= 11/2863500
Therefore, the GCF of 9471/332,1067/8625 is 11/2863500.
To find the highest common factor of 9471,1067, we have to find the factors of both numbers and list the highest common factor.
The factors of 9471 are 1, 3, 7, 11, 21, 33, 41, 77, 123, 231, 287, 451, 861, 1353, 3157, 9471
The factors of 1067 are 1, 11, 97, 1067
The HCF of 9471,1067 is 11.
Lets's calculate GCF of 9471,1067
| 11 | 9471, 1067 |
| 861, 97 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9471,1067 By Matching Biggest Common Factor Method
Now, list down the factors of 9471
:1,3,7,11,21,33,41,77,123,231,287,451,861,1353,3157,9471
Now, list down the factors of 1067
:1,11,97,1067
Greatest Common Factor
We found the factors 9471,1067 . The biggest common factor number is the GCF number.
So the greatest common factor 9471,1067 is 11.
Lets's calculate LCM of 332,8625
Given numbers has no common factors except 1. So, there LCM is their product i.e 2863500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2863500
Therefore, the GCF of Fractions 9471/332,1067/8625 is 11/2863500
Least Common Multiple of 332,8625 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 332,8625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,8625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(332,8625) x common factors =1 x 1 = 1
LCM(332,8625) = ( 332 × 8625 ) / 1
LCM(332,8625) = 2863500 / 1
LCM(332,8625) = 2863500
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FAQs on GCF of Fractions of 9471/332, 1067/8625
1. What is the HCF of 9471,1067?
The HCF of 9471,1067 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 9471/332, 1067/8625?
Answer: GCF of Numerators as per given numbers 9471/332, 1067/8625 is
GCF of Numerators i.e. for 9471,1067 is 11
LCM of denominators i.e. for 332,8625 is 2863500.
Thus, GCF of Fractions is 11/2863500.Finally, GCF of Fractions for 9471/332, 1067/8625 is 11/2863500.