GCF of 9225/722, 6665/7978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9225/722, 6665/7978 i.e 5/2880058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9225/722, 6665/7978.
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 9225/722,6665/7978?
Given fractions are 9225/722,6665/7978
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 9225/722,6665/7978, numerators are 9225,6665
Denominators are 722,7978
The GCF of 9225,6665 is 5 .
LCM of 722,7978 is 2880058.
The greatest common factor of 9225/722,6665/7978 = [GCF of 9225,6665]/[LCM of 722,7978]= 5/2880058
Therefore, the GCF of 9225/722,6665/7978 is 5/2880058.
To find the highest common factor of 9225,6665, we have to find the factors of both numbers and list the highest common factor.
The factors of 9225 are 1, 3, 5, 9, 15, 25, 41, 45, 75, 123, 205, 225, 369, 615, 1025, 1845, 3075, 9225
The factors of 6665 are 1, 5, 31, 43, 155, 215, 1333, 6665
The HCF of 9225,6665 is 5.
Lets's calculate GCF of 9225,6665
| 5 | 9225, 6665 |
| 1845, 1333 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9225,6665 By Matching Biggest Common Factor Method
Now, list down the factors of 9225
:1,3,5,9,15,25,41,45,75,123,205,225,369,615,1025,1845,3075,9225
Now, list down the factors of 6665
:1,5,31,43,155,215,1333,6665
Greatest Common Factor
We found the factors 9225,6665 . The biggest common factor number is the GCF number.
So the greatest common factor 9225,6665 is 5.
Lets's calculate LCM of 722,7978
| 2 | 722, 7978 |
| 361, 3989 |
∴ So the LCM of the given numbers is 2 x 361 x 3989 = 2880058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2880058
Therefore, the GCF of Fractions 9225/722,6665/7978 is 5/2880058
Least Common Multiple of 722,7978 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 722,7978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,7978) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,7978) x common factors =2 x 1 = 2
LCM(722,7978) = ( 722 × 7978 ) / 2
LCM(722,7978) = 5760116 / 2
LCM(722,7978) = 2880058
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9225/722, 6665/7978
1. What is the HCF of 9225,6665?
The HCF of 9225,6665 is 5
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 9225/722, 6665/7978?
Answer: GCF of Numerators as per given numbers 9225/722, 6665/7978 is
GCF of Numerators i.e. for 9225,6665 is 5
LCM of denominators i.e. for 722,7978 is 2880058.
Thus, GCF of Fractions is 5/2880058.Finally, GCF of Fractions for 9225/722, 6665/7978 is 5/2880058.