GCF of 8728/365, 9695/4151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8728/365, 9695/4151 i.e 1/1515115 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8728/365, 9695/4151.
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 8728/365,9695/4151?
Given fractions are 8728/365,9695/4151
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 8728/365,9695/4151, numerators are 8728,9695
Denominators are 365,4151
The GCF of 8728,9695 is 1 .
LCM of 365,4151 is 1515115.
The greatest common factor of 8728/365,9695/4151 = [GCF of 8728,9695]/[LCM of 365,4151]= 1/1515115
Therefore, the GCF of 8728/365,9695/4151 is 1/1515115.
To find the highest common factor of 8728,9695, we have to find the factors of both numbers and list the highest common factor.
The factors of 8728 are 1, 2, 4, 8, 1091, 2182, 4364, 8728
The factors of 9695 are 1, 5, 7, 35, 277, 1385, 1939, 9695
The HCF of 8728,9695 is 1.
Lets's calculate GCF of 8728,9695
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8728,9695 By Matching Biggest Common Factor Method
Now, list down the factors of 8728
:1,2,4,8,1091,2182,4364,8728
Now, list down the factors of 9695
:1,5,7,35,277,1385,1939,9695
Greatest Common Factor
We found the factors 8728,9695 . The biggest common factor number is the GCF number.
So the greatest common factor 8728,9695 is 1.
Lets's calculate LCM of 365,4151
Given numbers has no common factors except 1. So, there LCM is their product i.e 1515115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1515115
Therefore, the GCF of Fractions 8728/365,9695/4151 is 1/1515115
Least Common Multiple of 365,4151 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 365,4151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,4151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,4151) x common factors =1 x 1 = 1
LCM(365,4151) = ( 365 × 4151 ) / 1
LCM(365,4151) = 1515115 / 1
LCM(365,4151) = 1515115
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8728/365, 9695/4151
1. What is the HCF of 8728,9695?
The HCF of 8728,9695 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 8728/365, 9695/4151?
Answer: GCF of Numerators as per given numbers 8728/365, 9695/4151 is
GCF of Numerators i.e. for 8728,9695 is 1
LCM of denominators i.e. for 365,4151 is 1515115.
Thus, GCF of Fractions is 1/1515115.Finally, GCF of Fractions for 8728/365, 9695/4151 is 1/1515115.