GCF of 135/65, 915/2465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 135/65, 915/2465 i.e 15/32045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 135/65, 915/2465.
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 135/65,915/2465?
Given fractions are 135/65,915/2465
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 135/65,915/2465, numerators are 135,915
Denominators are 65,2465
The GCF of 135,915 is 15 .
LCM of 65,2465 is 32045.
The greatest common factor of 135/65,915/2465 = [GCF of 135,915]/[LCM of 65,2465]= 15/32045
Therefore, the GCF of 135/65,915/2465 is 15/32045.
To find the highest common factor of 135,915, we have to find the factors of both numbers and list the highest common factor.
The factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135
The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915
The HCF of 135,915 is 15.
Lets's calculate GCF of 135,915
| 3 | 135, 915 |
| 5 | 45, 305 |
| 9, 61 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 135,915 By Matching Biggest Common Factor Method
Now, list down the factors of 135
:1,3,5,9,15,27,45,135
Now, list down the factors of 915
:1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 135,915 . The biggest common factor number is the GCF number.
So the greatest common factor 135,915 is 15.
Lets's calculate LCM of 65,2465
| 5 | 65, 2465 |
| 13, 493 |
∴ So the LCM of the given numbers is 5 x 13 x 493 = 32045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/32045
Therefore, the GCF of Fractions 135/65,915/2465 is 15/32045
Least Common Multiple of 65,2465 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 65,2465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,2465) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(65,2465) x common factors =5 x 1 = 5
LCM(65,2465) = ( 65 × 2465 ) / 5
LCM(65,2465) = 160225 / 5
LCM(65,2465) = 32045
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FAQs on GCF of Fractions of 135/65, 915/2465
1. What is the HCF of 135,915?
The HCF of 135,915 is 15
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 135/65, 915/2465?
Answer: GCF of Numerators as per given numbers 135/65, 915/2465 is
GCF of Numerators i.e. for 135,915 is 15
LCM of denominators i.e. for 65,2465 is 32045.
Thus, GCF of Fractions is 15/32045.Finally, GCF of Fractions for 135/65, 915/2465 is 15/32045.