GCF of 8013/342, 9471/5669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8013/342, 9471/5669 i.e 3/1938798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8013/342, 9471/5669.
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 8013/342,9471/5669?
Given fractions are 8013/342,9471/5669
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 8013/342,9471/5669, numerators are 8013,9471
Denominators are 342,5669
The GCF of 8013,9471 is 3 .
LCM of 342,5669 is 1938798.
The greatest common factor of 8013/342,9471/5669 = [GCF of 8013,9471]/[LCM of 342,5669]= 3/1938798
Therefore, the GCF of 8013/342,9471/5669 is 3/1938798.
To find the highest common factor of 8013,9471, we have to find the factors of both numbers and list the highest common factor.
The factors of 8013 are 1, 3, 2671, 8013
The factors of 9471 are 1, 3, 7, 11, 21, 33, 41, 77, 123, 231, 287, 451, 861, 1353, 3157, 9471
The HCF of 8013,9471 is 3.
Lets's calculate GCF of 8013,9471
| 3 | 8013, 9471 |
| 2671, 3157 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8013,9471 By Matching Biggest Common Factor Method
Now, list down the factors of 8013
:1,3,2671,8013
Now, list down the factors of 9471
:1,3,7,11,21,33,41,77,123,231,287,451,861,1353,3157,9471
Greatest Common Factor
We found the factors 8013,9471 . The biggest common factor number is the GCF number.
So the greatest common factor 8013,9471 is 3.
Lets's calculate LCM of 342,5669
Given numbers has no common factors except 1. So, there LCM is their product i.e 1938798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1938798
Therefore, the GCF of Fractions 8013/342,9471/5669 is 3/1938798
Least Common Multiple of 342,5669 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 342,5669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,5669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(342,5669) x common factors =1 x 1 = 1
LCM(342,5669) = ( 342 × 5669 ) / 1
LCM(342,5669) = 1938798 / 1
LCM(342,5669) = 1938798
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FAQs on GCF of Fractions of 8013/342, 9471/5669
1. What is the HCF of 8013,9471?
The HCF of 8013,9471 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 8013/342, 9471/5669?
Answer: GCF of Numerators as per given numbers 8013/342, 9471/5669 is
GCF of Numerators i.e. for 8013,9471 is 3
LCM of denominators i.e. for 342,5669 is 1938798.
Thus, GCF of Fractions is 3/1938798.Finally, GCF of Fractions for 8013/342, 9471/5669 is 3/1938798.