GCF of 7313/231, 9093/3417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7313/231, 9093/3417 i.e 1/263109 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7313/231, 9093/3417.
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 7313/231,9093/3417?
Given fractions are 7313/231,9093/3417
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 7313/231,9093/3417, numerators are 7313,9093
Denominators are 231,3417
The GCF of 7313,9093 is 1 .
LCM of 231,3417 is 263109.
The greatest common factor of 7313/231,9093/3417 = [GCF of 7313,9093]/[LCM of 231,3417]= 1/263109
Therefore, the GCF of 7313/231,9093/3417 is 1/263109.
To find the highest common factor of 7313,9093, we have to find the factors of both numbers and list the highest common factor.
The factors of 7313 are 1, 71, 103, 7313
The factors of 9093 are 1, 3, 7, 21, 433, 1299, 3031, 9093
The HCF of 7313,9093 is 1.
Lets's calculate GCF of 7313,9093
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7313,9093 By Matching Biggest Common Factor Method
Now, list down the factors of 7313
:1,71,103,7313
Now, list down the factors of 9093
:1,3,7,21,433,1299,3031,9093
Greatest Common Factor
We found the factors 7313,9093 . The biggest common factor number is the GCF number.
So the greatest common factor 7313,9093 is 1.
Lets's calculate LCM of 231,3417
| 3 | 231, 3417 |
| 77, 1139 |
∴ So the LCM of the given numbers is 3 x 77 x 1139 = 263109
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263109
Therefore, the GCF of Fractions 7313/231,9093/3417 is 1/263109
Least Common Multiple of 231,3417 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 231,3417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,3417) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(231,3417) x common factors =3 x 1 = 3
LCM(231,3417) = ( 231 × 3417 ) / 3
LCM(231,3417) = 789327 / 3
LCM(231,3417) = 263109
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FAQs on GCF of Fractions of 7313/231, 9093/3417
1. What is the HCF of 7313,9093?
The HCF of 7313,9093 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 7313/231, 9093/3417?
Answer: GCF of Numerators as per given numbers 7313/231, 9093/3417 is
GCF of Numerators i.e. for 7313,9093 is 1
LCM of denominators i.e. for 231,3417 is 263109.
Thus, GCF of Fractions is 1/263109.Finally, GCF of Fractions for 7313/231, 9093/3417 is 1/263109.