GCF of 9581/131, 8228/7081
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9581/131, 8228/7081 i.e 11/927611 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9581/131, 8228/7081.
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 9581/131,8228/7081?
Given fractions are 9581/131,8228/7081
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 9581/131,8228/7081, numerators are 9581,8228
Denominators are 131,7081
The GCF of 9581,8228 is 11 .
LCM of 131,7081 is 927611.
The greatest common factor of 9581/131,8228/7081 = [GCF of 9581,8228]/[LCM of 131,7081]= 11/927611
Therefore, the GCF of 9581/131,8228/7081 is 11/927611.
To find the highest common factor of 9581,8228, we have to find the factors of both numbers and list the highest common factor.
The factors of 9581 are 1, 11, 13, 67, 143, 737, 871, 9581
The factors of 8228 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114, 8228
The HCF of 9581,8228 is 11.
Lets's calculate GCF of 9581,8228
| 11 | 9581, 8228 |
| 871, 748 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9581,8228 By Matching Biggest Common Factor Method
Now, list down the factors of 9581
:1,11,13,67,143,737,871,9581
Now, list down the factors of 8228
:1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228
Greatest Common Factor
We found the factors 9581,8228 . The biggest common factor number is the GCF number.
So the greatest common factor 9581,8228 is 11.
Lets's calculate LCM of 131,7081
Given numbers has no common factors except 1. So, there LCM is their product i.e 927611
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/927611
Therefore, the GCF of Fractions 9581/131,8228/7081 is 11/927611
Least Common Multiple of 131,7081 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 131,7081 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,7081) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,7081) x common factors =1 x 1 = 1
LCM(131,7081) = ( 131 × 7081 ) / 1
LCM(131,7081) = 927611 / 1
LCM(131,7081) = 927611
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FAQs on GCF of Fractions of 9581/131, 8228/7081
1. What is the HCF of 9581,8228?
The HCF of 9581,8228 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 9581/131, 8228/7081?
Answer: GCF of Numerators as per given numbers 9581/131, 8228/7081 is
GCF of Numerators i.e. for 9581,8228 is 11
LCM of denominators i.e. for 131,7081 is 927611.
Thus, GCF of Fractions is 11/927611.Finally, GCF of Fractions for 9581/131, 8228/7081 is 11/927611.