GCF of 9620/324, 9191/8232
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9620/324, 9191/8232 i.e 13/222264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9620/324, 9191/8232.
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 9620/324,9191/8232?
Given fractions are 9620/324,9191/8232
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 9620/324,9191/8232, numerators are 9620,9191
Denominators are 324,8232
The GCF of 9620,9191 is 13 .
LCM of 324,8232 is 222264.
The greatest common factor of 9620/324,9191/8232 = [GCF of 9620,9191]/[LCM of 324,8232]= 13/222264
Therefore, the GCF of 9620/324,9191/8232 is 13/222264.
To find the highest common factor of 9620,9191, we have to find the factors of both numbers and list the highest common factor.
The factors of 9620 are 1, 2, 4, 5, 10, 13, 20, 26, 37, 52, 65, 74, 130, 148, 185, 260, 370, 481, 740, 962, 1924, 2405, 4810, 9620
The factors of 9191 are 1, 7, 13, 91, 101, 707, 1313, 9191
The HCF of 9620,9191 is 13.
Lets's calculate GCF of 9620,9191
| 13 | 9620, 9191 |
| 740, 707 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9620,9191 By Matching Biggest Common Factor Method
Now, list down the factors of 9620
:1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620
Now, list down the factors of 9191
:1,7,13,91,101,707,1313,9191
Greatest Common Factor
We found the factors 9620,9191 . The biggest common factor number is the GCF number.
So the greatest common factor 9620,9191 is 13.
Lets's calculate LCM of 324,8232
| 2 | 324, 8232 |
| 2 | 162, 4116 |
| 3 | 81, 2058 |
| 27, 686 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 27 x 686 = 222264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/222264
Therefore, the GCF of Fractions 9620/324,9191/8232 is 13/222264
Least Common Multiple of 324,8232 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 324,8232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,8232) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(324,8232) x common factors =12 x 1 = 12
LCM(324,8232) = ( 324 × 8232 ) / 12
LCM(324,8232) = 2667168 / 12
LCM(324,8232) = 222264
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FAQs on GCF of Fractions of 9620/324, 9191/8232
1. What is the HCF of 9620,9191?
The HCF of 9620,9191 is 13
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 9620/324, 9191/8232?
Answer: GCF of Numerators as per given numbers 9620/324, 9191/8232 is
GCF of Numerators i.e. for 9620,9191 is 13
LCM of denominators i.e. for 324,8232 is 222264.
Thus, GCF of Fractions is 13/222264.Finally, GCF of Fractions for 9620/324, 9191/8232 is 13/222264.