GCF of 7271/656, 8423/8981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7271/656, 8423/8981 i.e 1/5891536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7271/656, 8423/8981.
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 7271/656,8423/8981?
Given fractions are 7271/656,8423/8981
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 7271/656,8423/8981, numerators are 7271,8423
Denominators are 656,8981
The GCF of 7271,8423 is 1 .
LCM of 656,8981 is 5891536.
The greatest common factor of 7271/656,8423/8981 = [GCF of 7271,8423]/[LCM of 656,8981]= 1/5891536
Therefore, the GCF of 7271/656,8423/8981 is 1/5891536.
To find the highest common factor of 7271,8423, we have to find the factors of both numbers and list the highest common factor.
The factors of 7271 are 1, 11, 661, 7271
The factors of 8423 are 1, 8423
The HCF of 7271,8423 is 1.
Lets's calculate GCF of 7271,8423
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7271,8423 By Matching Biggest Common Factor Method
Now, list down the factors of 7271
:1,11,661,7271
Now, list down the factors of 8423
:1,8423
Greatest Common Factor
We found the factors 7271,8423 . The biggest common factor number is the GCF number.
So the greatest common factor 7271,8423 is 1.
Lets's calculate LCM of 656,8981
Given numbers has no common factors except 1. So, there LCM is their product i.e 5891536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5891536
Therefore, the GCF of Fractions 7271/656,8423/8981 is 1/5891536
Least Common Multiple of 656,8981 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 656,8981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,8981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(656,8981) x common factors =1 x 1 = 1
LCM(656,8981) = ( 656 × 8981 ) / 1
LCM(656,8981) = 5891536 / 1
LCM(656,8981) = 5891536
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FAQs on GCF of Fractions of 7271/656, 8423/8981
1. What is the HCF of 7271,8423?
The HCF of 7271,8423 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 7271/656, 8423/8981?
Answer: GCF of Numerators as per given numbers 7271/656, 8423/8981 is
GCF of Numerators i.e. for 7271,8423 is 1
LCM of denominators i.e. for 656,8981 is 5891536.
Thus, GCF of Fractions is 1/5891536.Finally, GCF of Fractions for 7271/656, 8423/8981 is 1/5891536.