GCF of 7390/729, 9107/2988
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7390/729, 9107/2988 i.e 1/242028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7390/729, 9107/2988.
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 7390/729,9107/2988?
Given fractions are 7390/729,9107/2988
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 7390/729,9107/2988, numerators are 7390,9107
Denominators are 729,2988
The GCF of 7390,9107 is 1 .
LCM of 729,2988 is 242028.
The greatest common factor of 7390/729,9107/2988 = [GCF of 7390,9107]/[LCM of 729,2988]= 1/242028
Therefore, the GCF of 7390/729,9107/2988 is 1/242028.
To find the highest common factor of 7390,9107, we have to find the factors of both numbers and list the highest common factor.
The factors of 7390 are 1, 2, 5, 10, 739, 1478, 3695, 7390
The factors of 9107 are 1, 7, 1301, 9107
The HCF of 7390,9107 is 1.
Lets's calculate GCF of 7390,9107
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7390,9107 By Matching Biggest Common Factor Method
Now, list down the factors of 7390
:1,2,5,10,739,1478,3695,7390
Now, list down the factors of 9107
:1,7,1301,9107
Greatest Common Factor
We found the factors 7390,9107 . The biggest common factor number is the GCF number.
So the greatest common factor 7390,9107 is 1.
Lets's calculate LCM of 729,2988
| 3 | 729, 2988 |
| 3 | 243, 996 |
| 81, 332 |
∴ So the LCM of the given numbers is 3 x 3 x 81 x 332 = 242028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242028
Therefore, the GCF of Fractions 7390/729,9107/2988 is 1/242028
Least Common Multiple of 729,2988 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 729,2988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,2988) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(729,2988) x common factors =9 x 1 = 9
LCM(729,2988) = ( 729 × 2988 ) / 9
LCM(729,2988) = 2178252 / 9
LCM(729,2988) = 242028
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7390/729, 9107/2988
1. What is the HCF of 7390,9107?
The HCF of 7390,9107 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 7390/729, 9107/2988?
Answer: GCF of Numerators as per given numbers 7390/729, 9107/2988 is
GCF of Numerators i.e. for 7390,9107 is 1
LCM of denominators i.e. for 729,2988 is 242028.
Thus, GCF of Fractions is 1/242028.Finally, GCF of Fractions for 7390/729, 9107/2988 is 1/242028.