GCF of 9331/978, 3751/3684
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9331/978, 3751/3684 i.e 31/600492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9331/978, 3751/3684.
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 9331/978,3751/3684?
Given fractions are 9331/978,3751/3684
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 9331/978,3751/3684, numerators are 9331,3751
Denominators are 978,3684
The GCF of 9331,3751 is 31 .
LCM of 978,3684 is 600492.
The greatest common factor of 9331/978,3751/3684 = [GCF of 9331,3751]/[LCM of 978,3684]= 31/600492
Therefore, the GCF of 9331/978,3751/3684 is 31/600492.
To find the highest common factor of 9331,3751, we have to find the factors of both numbers and list the highest common factor.
The factors of 9331 are 1, 7, 31, 43, 217, 301, 1333, 9331
The factors of 3751 are 1, 11, 31, 121, 341, 3751
The HCF of 9331,3751 is 31.
Lets's calculate GCF of 9331,3751
| 31 | 9331, 3751 |
| 301, 121 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 9331,3751 By Matching Biggest Common Factor Method
Now, list down the factors of 9331
:1,7,31,43,217,301,1333,9331
Now, list down the factors of 3751
:1,11,31,121,341,3751
Greatest Common Factor
We found the factors 9331,3751 . The biggest common factor number is the GCF number.
So the greatest common factor 9331,3751 is 31.
Lets's calculate LCM of 978,3684
| 2 | 978, 3684 |
| 3 | 489, 1842 |
| 163, 614 |
∴ So the LCM of the given numbers is 2 x 3 x 163 x 614 = 600492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/600492
Therefore, the GCF of Fractions 9331/978,3751/3684 is 31/600492
Least Common Multiple of 978,3684 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 978,3684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,3684) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(978,3684) x common factors =6 x 1 = 6
LCM(978,3684) = ( 978 × 3684 ) / 6
LCM(978,3684) = 3602952 / 6
LCM(978,3684) = 600492
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FAQs on GCF of Fractions of 9331/978, 3751/3684
1. What is the HCF of 9331,3751?
The HCF of 9331,3751 is 31
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 9331/978, 3751/3684?
Answer: GCF of Numerators as per given numbers 9331/978, 3751/3684 is
GCF of Numerators i.e. for 9331,3751 is 31
LCM of denominators i.e. for 978,3684 is 600492.
Thus, GCF of Fractions is 31/600492.Finally, GCF of Fractions for 9331/978, 3751/3684 is 31/600492.