GCF of 8117/138, 9791/263
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8117/138, 9791/263 i.e 1/36294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8117/138, 9791/263.
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 8117/138,9791/263?
Given fractions are 8117/138,9791/263
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 8117/138,9791/263, numerators are 8117,9791
Denominators are 138,263
The GCF of 8117,9791 is 1 .
LCM of 138,263 is 36294.
The greatest common factor of 8117/138,9791/263 = [GCF of 8117,9791]/[LCM of 138,263]= 1/36294
Therefore, the GCF of 8117/138,9791/263 is 1/36294.
To find the highest common factor of 8117,9791, we have to find the factors of both numbers and list the highest common factor.
The factors of 8117 are 1, 8117
The factors of 9791 are 1, 9791
The HCF of 8117,9791 is 1.
Lets's calculate GCF of 8117,9791
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8117,9791 By Matching Biggest Common Factor Method
Now, list down the factors of 8117
:1,8117
Now, list down the factors of 9791
:1,9791
Greatest Common Factor
We found the factors 8117,9791 . The biggest common factor number is the GCF number.
So the greatest common factor 8117,9791 is 1.
Lets's calculate LCM of 138,263
Given numbers has no common factors except 1. So, there LCM is their product i.e 36294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36294
Therefore, the GCF of Fractions 8117/138,9791/263 is 1/36294
Least Common Multiple of 138,263 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 138,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(138,263) x common factors =1 x 1 = 1
LCM(138,263) = ( 138 × 263 ) / 1
LCM(138,263) = 36294 / 1
LCM(138,263) = 36294
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FAQs on GCF of Fractions of 8117/138, 9791/263
1. What is the HCF of 8117,9791?
The HCF of 8117,9791 is 1
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 8117/138, 9791/263?
Answer: GCF of Numerators as per given numbers 8117/138, 9791/263 is
GCF of Numerators i.e. for 8117,9791 is 1
LCM of denominators i.e. for 138,263 is 36294.
Thus, GCF of Fractions is 1/36294.Finally, GCF of Fractions for 8117/138, 9791/263 is 1/36294.