GCF of 615/459, 375/455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 615/459, 375/455 i.e 15/208845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 615/459, 375/455.
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 615/459,375/455?
Given fractions are 615/459,375/455
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 615/459,375/455, numerators are 615,375
Denominators are 459,455
The GCF of 615,375 is 15 .
LCM of 459,455 is 208845.
The greatest common factor of 615/459,375/455 = [GCF of 615,375]/[LCM of 459,455]= 15/208845
Therefore, the GCF of 615/459,375/455 is 15/208845.
To find the highest common factor of 615,375, we have to find the factors of both numbers and list the highest common factor.
The factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615
The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375
The HCF of 615,375 is 15.
Lets's calculate GCF of 615,375
| 3 | 615, 375 |
| 5 | 205, 125 |
| 41, 25 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 615,375 By Matching Biggest Common Factor Method
Now, list down the factors of 615
:1,3,5,15,41,123,205,615
Now, list down the factors of 375
:1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 615,375 . The biggest common factor number is the GCF number.
So the greatest common factor 615,375 is 15.
Lets's calculate LCM of 459,455
Given numbers has no common factors except 1. So, there LCM is their product i.e 208845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/208845
Therefore, the GCF of Fractions 615/459,375/455 is 15/208845
Least Common Multiple of 459,455 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 459,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(459,455) x common factors =1 x 1 = 1
LCM(459,455) = ( 459 × 455 ) / 1
LCM(459,455) = 208845 / 1
LCM(459,455) = 208845
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FAQs on GCF of Fractions of 615/459, 375/455
1. What is the HCF of 615,375?
The HCF of 615,375 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 615/459, 375/455?
Answer: GCF of Numerators as per given numbers 615/459, 375/455 is
GCF of Numerators i.e. for 615,375 is 15
LCM of denominators i.e. for 459,455 is 208845.
Thus, GCF of Fractions is 15/208845.Finally, GCF of Fractions for 615/459, 375/455 is 15/208845.