GCF of 8387/105, 9509/7389
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8387/105, 9509/7389 i.e 1/258615 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8387/105, 9509/7389.
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 8387/105,9509/7389?
Given fractions are 8387/105,9509/7389
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 8387/105,9509/7389, numerators are 8387,9509
Denominators are 105,7389
The GCF of 8387,9509 is 1 .
LCM of 105,7389 is 258615.
The greatest common factor of 8387/105,9509/7389 = [GCF of 8387,9509]/[LCM of 105,7389]= 1/258615
Therefore, the GCF of 8387/105,9509/7389 is 1/258615.
To find the highest common factor of 8387,9509, we have to find the factors of both numbers and list the highest common factor.
The factors of 8387 are 1, 8387
The factors of 9509 are 1, 37, 257, 9509
The HCF of 8387,9509 is 1.
Lets's calculate GCF of 8387,9509
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8387,9509 By Matching Biggest Common Factor Method
Now, list down the factors of 8387
:1,8387
Now, list down the factors of 9509
:1,37,257,9509
Greatest Common Factor
We found the factors 8387,9509 . The biggest common factor number is the GCF number.
So the greatest common factor 8387,9509 is 1.
Lets's calculate LCM of 105,7389
| 3 | 105, 7389 |
| 35, 2463 |
∴ So the LCM of the given numbers is 3 x 35 x 2463 = 258615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258615
Therefore, the GCF of Fractions 8387/105,9509/7389 is 1/258615
Least Common Multiple of 105,7389 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 105,7389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,7389) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(105,7389) x common factors =3 x 1 = 3
LCM(105,7389) = ( 105 × 7389 ) / 3
LCM(105,7389) = 775845 / 3
LCM(105,7389) = 258615
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FAQs on GCF of Fractions of 8387/105, 9509/7389
1. What is the HCF of 8387,9509?
The HCF of 8387,9509 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 8387/105, 9509/7389?
Answer: GCF of Numerators as per given numbers 8387/105, 9509/7389 is
GCF of Numerators i.e. for 8387,9509 is 1
LCM of denominators i.e. for 105,7389 is 258615.
Thus, GCF of Fractions is 1/258615.Finally, GCF of Fractions for 8387/105, 9509/7389 is 1/258615.