GCF of 5121/807, 9191/375
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5121/807, 9191/375 i.e 1/100875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5121/807, 9191/375.
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 5121/807,9191/375?
Given fractions are 5121/807,9191/375
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 5121/807,9191/375, numerators are 5121,9191
Denominators are 807,375
The GCF of 5121,9191 is 1 .
LCM of 807,375 is 100875.
The greatest common factor of 5121/807,9191/375 = [GCF of 5121,9191]/[LCM of 807,375]= 1/100875
Therefore, the GCF of 5121/807,9191/375 is 1/100875.
To find the highest common factor of 5121,9191, we have to find the factors of both numbers and list the highest common factor.
The factors of 5121 are 1, 3, 9, 569, 1707, 5121
The factors of 9191 are 1, 7, 13, 91, 101, 707, 1313, 9191
The HCF of 5121,9191 is 1.
Lets's calculate GCF of 5121,9191
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5121,9191 By Matching Biggest Common Factor Method
Now, list down the factors of 5121
:1,3,9,569,1707,5121
Now, list down the factors of 9191
:1,7,13,91,101,707,1313,9191
Greatest Common Factor
We found the factors 5121,9191 . The biggest common factor number is the GCF number.
So the greatest common factor 5121,9191 is 1.
Lets's calculate LCM of 807,375
| 3 | 807, 375 |
| 269, 125 |
∴ So the LCM of the given numbers is 3 x 269 x 125 = 100875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100875
Therefore, the GCF of Fractions 5121/807,9191/375 is 1/100875
Least Common Multiple of 807,375 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 807,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,375) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(807,375) x common factors =3 x 1 = 3
LCM(807,375) = ( 807 × 375 ) / 3
LCM(807,375) = 302625 / 3
LCM(807,375) = 100875
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FAQs on GCF of Fractions of 5121/807, 9191/375
1. What is the HCF of 5121,9191?
The HCF of 5121,9191 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 5121/807, 9191/375?
Answer: GCF of Numerators as per given numbers 5121/807, 9191/375 is
GCF of Numerators i.e. for 5121,9191 is 1
LCM of denominators i.e. for 807,375 is 100875.
Thus, GCF of Fractions is 1/100875.Finally, GCF of Fractions for 5121/807, 9191/375 is 1/100875.