GCF of 9769/728, 9923/6449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9769/728, 9923/6449 i.e 1/4694872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9769/728, 9923/6449.
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 9769/728,9923/6449?
Given fractions are 9769/728,9923/6449
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 9769/728,9923/6449, numerators are 9769,9923
Denominators are 728,6449
The GCF of 9769,9923 is 1 .
LCM of 728,6449 is 4694872.
The greatest common factor of 9769/728,9923/6449 = [GCF of 9769,9923]/[LCM of 728,6449]= 1/4694872
Therefore, the GCF of 9769/728,9923/6449 is 1/4694872.
To find the highest common factor of 9769,9923, we have to find the factors of both numbers and list the highest common factor.
The factors of 9769 are 1, 9769
The factors of 9923 are 1, 9923
The HCF of 9769,9923 is 1.
Lets's calculate GCF of 9769,9923
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9769,9923 By Matching Biggest Common Factor Method
Now, list down the factors of 9769
:1,9769
Now, list down the factors of 9923
:1,9923
Greatest Common Factor
We found the factors 9769,9923 . The biggest common factor number is the GCF number.
So the greatest common factor 9769,9923 is 1.
Lets's calculate LCM of 728,6449
Given numbers has no common factors except 1. So, there LCM is their product i.e 4694872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4694872
Therefore, the GCF of Fractions 9769/728,9923/6449 is 1/4694872
Least Common Multiple of 728,6449 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 728,6449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,6449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(728,6449) x common factors =1 x 1 = 1
LCM(728,6449) = ( 728 × 6449 ) / 1
LCM(728,6449) = 4694872 / 1
LCM(728,6449) = 4694872
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9769/728, 9923/6449
1. What is the HCF of 9769,9923?
The HCF of 9769,9923 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 9769/728, 9923/6449?
Answer: GCF of Numerators as per given numbers 9769/728, 9923/6449 is
GCF of Numerators i.e. for 9769,9923 is 1
LCM of denominators i.e. for 728,6449 is 4694872.
Thus, GCF of Fractions is 1/4694872.Finally, GCF of Fractions for 9769/728, 9923/6449 is 1/4694872.