GCF of 9365/741, 7091/3217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9365/741, 7091/3217 i.e 1/2383797 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9365/741, 7091/3217.
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 9365/741,7091/3217?
Given fractions are 9365/741,7091/3217
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 9365/741,7091/3217, numerators are 9365,7091
Denominators are 741,3217
The GCF of 9365,7091 is 1 .
LCM of 741,3217 is 2383797.
The greatest common factor of 9365/741,7091/3217 = [GCF of 9365,7091]/[LCM of 741,3217]= 1/2383797
Therefore, the GCF of 9365/741,7091/3217 is 1/2383797.
To find the highest common factor of 9365,7091, we have to find the factors of both numbers and list the highest common factor.
The factors of 9365 are 1, 5, 1873, 9365
The factors of 7091 are 1, 7, 1013, 7091
The HCF of 9365,7091 is 1.
Lets's calculate GCF of 9365,7091
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9365,7091 By Matching Biggest Common Factor Method
Now, list down the factors of 9365
:1,5,1873,9365
Now, list down the factors of 7091
:1,7,1013,7091
Greatest Common Factor
We found the factors 9365,7091 . The biggest common factor number is the GCF number.
So the greatest common factor 9365,7091 is 1.
Lets's calculate LCM of 741,3217
Given numbers has no common factors except 1. So, there LCM is their product i.e 2383797
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2383797
Therefore, the GCF of Fractions 9365/741,7091/3217 is 1/2383797
Least Common Multiple of 741,3217 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 741,3217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,3217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(741,3217) x common factors =1 x 1 = 1
LCM(741,3217) = ( 741 × 3217 ) / 1
LCM(741,3217) = 2383797 / 1
LCM(741,3217) = 2383797
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FAQs on GCF of Fractions of 9365/741, 7091/3217
1. What is the HCF of 9365,7091?
The HCF of 9365,7091 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 9365/741, 7091/3217?
Answer: GCF of Numerators as per given numbers 9365/741, 7091/3217 is
GCF of Numerators i.e. for 9365,7091 is 1
LCM of denominators i.e. for 741,3217 is 2383797.
Thus, GCF of Fractions is 1/2383797.Finally, GCF of Fractions for 9365/741, 7091/3217 is 1/2383797.