GCF of 8656/115, 7981/8776
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8656/115, 7981/8776 i.e 1/1009240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8656/115, 7981/8776.
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 8656/115,7981/8776?
Given fractions are 8656/115,7981/8776
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 8656/115,7981/8776, numerators are 8656,7981
Denominators are 115,8776
The GCF of 8656,7981 is 1 .
LCM of 115,8776 is 1009240.
The greatest common factor of 8656/115,7981/8776 = [GCF of 8656,7981]/[LCM of 115,8776]= 1/1009240
Therefore, the GCF of 8656/115,7981/8776 is 1/1009240.
To find the highest common factor of 8656,7981, we have to find the factors of both numbers and list the highest common factor.
The factors of 8656 are 1, 2, 4, 8, 16, 541, 1082, 2164, 4328, 8656
The factors of 7981 are 1, 23, 347, 7981
The HCF of 8656,7981 is 1.
Lets's calculate GCF of 8656,7981
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8656,7981 By Matching Biggest Common Factor Method
Now, list down the factors of 8656
:1,2,4,8,16,541,1082,2164,4328,8656
Now, list down the factors of 7981
:1,23,347,7981
Greatest Common Factor
We found the factors 8656,7981 . The biggest common factor number is the GCF number.
So the greatest common factor 8656,7981 is 1.
Lets's calculate LCM of 115,8776
Given numbers has no common factors except 1. So, there LCM is their product i.e 1009240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1009240
Therefore, the GCF of Fractions 8656/115,7981/8776 is 1/1009240
Least Common Multiple of 115,8776 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 115,8776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,8776) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,8776) x common factors =1 x 1 = 1
LCM(115,8776) = ( 115 × 8776 ) / 1
LCM(115,8776) = 1009240 / 1
LCM(115,8776) = 1009240
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8656/115, 7981/8776
1. What is the HCF of 8656,7981?
The HCF of 8656,7981 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 8656/115, 7981/8776?
Answer: GCF of Numerators as per given numbers 8656/115, 7981/8776 is
GCF of Numerators i.e. for 8656,7981 is 1
LCM of denominators i.e. for 115,8776 is 1009240.
Thus, GCF of Fractions is 1/1009240.Finally, GCF of Fractions for 8656/115, 7981/8776 is 1/1009240.