GCF of 7478/121, 9729/8241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7478/121, 9729/8241 i.e 1/997161 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7478/121, 9729/8241.
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 7478/121,9729/8241?
Given fractions are 7478/121,9729/8241
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 7478/121,9729/8241, numerators are 7478,9729
Denominators are 121,8241
The GCF of 7478,9729 is 1 .
LCM of 121,8241 is 997161.
The greatest common factor of 7478/121,9729/8241 = [GCF of 7478,9729]/[LCM of 121,8241]= 1/997161
Therefore, the GCF of 7478/121,9729/8241 is 1/997161.
To find the highest common factor of 7478,9729, we have to find the factors of both numbers and list the highest common factor.
The factors of 7478 are 1, 2, 3739, 7478
The factors of 9729 are 1, 3, 9, 23, 47, 69, 141, 207, 423, 1081, 3243, 9729
The HCF of 7478,9729 is 1.
Lets's calculate GCF of 7478,9729
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7478,9729 By Matching Biggest Common Factor Method
Now, list down the factors of 7478
:1,2,3739,7478
Now, list down the factors of 9729
:1,3,9,23,47,69,141,207,423,1081,3243,9729
Greatest Common Factor
We found the factors 7478,9729 . The biggest common factor number is the GCF number.
So the greatest common factor 7478,9729 is 1.
Lets's calculate LCM of 121,8241
Given numbers has no common factors except 1. So, there LCM is their product i.e 997161
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/997161
Therefore, the GCF of Fractions 7478/121,9729/8241 is 1/997161
Least Common Multiple of 121,8241 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 121,8241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,8241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,8241) x common factors =1 x 1 = 1
LCM(121,8241) = ( 121 × 8241 ) / 1
LCM(121,8241) = 997161 / 1
LCM(121,8241) = 997161
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FAQs on GCF of Fractions of 7478/121, 9729/8241
1. What is the HCF of 7478,9729?
The HCF of 7478,9729 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 7478/121, 9729/8241?
Answer: GCF of Numerators as per given numbers 7478/121, 9729/8241 is
GCF of Numerators i.e. for 7478,9729 is 1
LCM of denominators i.e. for 121,8241 is 997161.
Thus, GCF of Fractions is 1/997161.Finally, GCF of Fractions for 7478/121, 9729/8241 is 1/997161.