GCF of 9327/665, 5089/7287
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9327/665, 5089/7287 i.e 1/692265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9327/665, 5089/7287.
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 9327/665,5089/7287?
Given fractions are 9327/665,5089/7287
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 9327/665,5089/7287, numerators are 9327,5089
Denominators are 665,7287
The GCF of 9327,5089 is 1 .
LCM of 665,7287 is 692265.
The greatest common factor of 9327/665,5089/7287 = [GCF of 9327,5089]/[LCM of 665,7287]= 1/692265
Therefore, the GCF of 9327/665,5089/7287 is 1/692265.
To find the highest common factor of 9327,5089, we have to find the factors of both numbers and list the highest common factor.
The factors of 9327 are 1, 3, 3109, 9327
The factors of 5089 are 1, 7, 727, 5089
The HCF of 9327,5089 is 1.
Lets's calculate GCF of 9327,5089
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9327,5089 By Matching Biggest Common Factor Method
Now, list down the factors of 9327
:1,3,3109,9327
Now, list down the factors of 5089
:1,7,727,5089
Greatest Common Factor
We found the factors 9327,5089 . The biggest common factor number is the GCF number.
So the greatest common factor 9327,5089 is 1.
Lets's calculate LCM of 665,7287
| 7 | 665, 7287 |
| 95, 1041 |
∴ So the LCM of the given numbers is 7 x 95 x 1041 = 692265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/692265
Therefore, the GCF of Fractions 9327/665,5089/7287 is 1/692265
Least Common Multiple of 665,7287 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 665,7287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,7287) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(665,7287) x common factors =7 x 1 = 7
LCM(665,7287) = ( 665 × 7287 ) / 7
LCM(665,7287) = 4845855 / 7
LCM(665,7287) = 692265
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FAQs on GCF of Fractions of 9327/665, 5089/7287
1. What is the HCF of 9327,5089?
The HCF of 9327,5089 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 9327/665, 5089/7287?
Answer: GCF of Numerators as per given numbers 9327/665, 5089/7287 is
GCF of Numerators i.e. for 9327,5089 is 1
LCM of denominators i.e. for 665,7287 is 692265.
Thus, GCF of Fractions is 1/692265.Finally, GCF of Fractions for 9327/665, 5089/7287 is 1/692265.