GCF of 7398/323, 7576/4396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7398/323, 7576/4396 i.e 2/1419908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7398/323, 7576/4396.
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 7398/323,7576/4396?
Given fractions are 7398/323,7576/4396
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 7398/323,7576/4396, numerators are 7398,7576
Denominators are 323,4396
The GCF of 7398,7576 is 2 .
LCM of 323,4396 is 1419908.
The greatest common factor of 7398/323,7576/4396 = [GCF of 7398,7576]/[LCM of 323,4396]= 2/1419908
Therefore, the GCF of 7398/323,7576/4396 is 2/1419908.
To find the highest common factor of 7398,7576, we have to find the factors of both numbers and list the highest common factor.
The factors of 7398 are 1, 2, 3, 6, 9, 18, 27, 54, 137, 274, 411, 822, 1233, 2466, 3699, 7398
The factors of 7576 are 1, 2, 4, 8, 947, 1894, 3788, 7576
The HCF of 7398,7576 is 2.
Lets's calculate GCF of 7398,7576
| 2 | 7398, 7576 |
| 3699, 3788 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7398,7576 By Matching Biggest Common Factor Method
Now, list down the factors of 7398
:1,2,3,6,9,18,27,54,137,274,411,822,1233,2466,3699,7398
Now, list down the factors of 7576
:1,2,4,8,947,1894,3788,7576
Greatest Common Factor
We found the factors 7398,7576 . The biggest common factor number is the GCF number.
So the greatest common factor 7398,7576 is 2.
Lets's calculate LCM of 323,4396
Given numbers has no common factors except 1. So, there LCM is their product i.e 1419908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1419908
Therefore, the GCF of Fractions 7398/323,7576/4396 is 2/1419908
Least Common Multiple of 323,4396 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 323,4396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,4396) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,4396) x common factors =1 x 1 = 1
LCM(323,4396) = ( 323 × 4396 ) / 1
LCM(323,4396) = 1419908 / 1
LCM(323,4396) = 1419908
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7398/323, 7576/4396
1. What is the HCF of 7398,7576?
The HCF of 7398,7576 is 2
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 7398/323, 7576/4396?
Answer: GCF of Numerators as per given numbers 7398/323, 7576/4396 is
GCF of Numerators i.e. for 7398,7576 is 2
LCM of denominators i.e. for 323,4396 is 1419908.
Thus, GCF of Fractions is 2/1419908.Finally, GCF of Fractions for 7398/323, 7576/4396 is 2/1419908.