GCF of 9331/225, 5363/9427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9331/225, 5363/9427 i.e 31/2121075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9331/225, 5363/9427.
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 9331/225,5363/9427?
Given fractions are 9331/225,5363/9427
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 9331/225,5363/9427, numerators are 9331,5363
Denominators are 225,9427
The GCF of 9331,5363 is 31 .
LCM of 225,9427 is 2121075.
The greatest common factor of 9331/225,5363/9427 = [GCF of 9331,5363]/[LCM of 225,9427]= 31/2121075
Therefore, the GCF of 9331/225,5363/9427 is 31/2121075.
To find the highest common factor of 9331,5363, 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 5363 are 1, 31, 173, 5363
The HCF of 9331,5363 is 31.
Lets's calculate GCF of 9331,5363
| 31 | 9331, 5363 |
| 301, 173 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 9331,5363 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 5363
:1,31,173,5363
Greatest Common Factor
We found the factors 9331,5363 . The biggest common factor number is the GCF number.
So the greatest common factor 9331,5363 is 31.
Lets's calculate LCM of 225,9427
Given numbers has no common factors except 1. So, there LCM is their product i.e 2121075
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/2121075
Therefore, the GCF of Fractions 9331/225,5363/9427 is 31/2121075
Least Common Multiple of 225,9427 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 225,9427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(225,9427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(225,9427) x common factors =1 x 1 = 1
LCM(225,9427) = ( 225 × 9427 ) / 1
LCM(225,9427) = 2121075 / 1
LCM(225,9427) = 2121075
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FAQs on GCF of Fractions of 9331/225, 5363/9427
1. What is the HCF of 9331,5363?
The HCF of 9331,5363 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 9331/225, 5363/9427?
Answer: GCF of Numerators as per given numbers 9331/225, 5363/9427 is
GCF of Numerators i.e. for 9331,5363 is 31
LCM of denominators i.e. for 225,9427 is 2121075.
Thus, GCF of Fractions is 31/2121075.Finally, GCF of Fractions for 9331/225, 5363/9427 is 31/2121075.