GCF of 815/509, 615/744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 815/509, 615/744 i.e 5/378696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 815/509, 615/744.
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 815/509,615/744?
Given fractions are 815/509,615/744
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 815/509,615/744, numerators are 815,615
Denominators are 509,744
The GCF of 815,615 is 5 .
LCM of 509,744 is 378696.
The greatest common factor of 815/509,615/744 = [GCF of 815,615]/[LCM of 509,744]= 5/378696
Therefore, the GCF of 815/509,615/744 is 5/378696.
To find the highest common factor of 815,615, we have to find the factors of both numbers and list the highest common factor.
The factors of 815 are 1, 5, 163, 815
The factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615
The HCF of 815,615 is 5.
Lets's calculate GCF of 815,615
| 5 | 815, 615 |
| 163, 123 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 815,615 By Matching Biggest Common Factor Method
Now, list down the factors of 815
:1,5,163,815
Now, list down the factors of 615
:1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 815,615 . The biggest common factor number is the GCF number.
So the greatest common factor 815,615 is 5.
Lets's calculate LCM of 509,744
Given numbers has no common factors except 1. So, there LCM is their product i.e 378696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/378696
Therefore, the GCF of Fractions 815/509,615/744 is 5/378696
Least Common Multiple of 509,744 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 509,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,744) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,744) x common factors =1 x 1 = 1
LCM(509,744) = ( 509 × 744 ) / 1
LCM(509,744) = 378696 / 1
LCM(509,744) = 378696
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FAQs on GCF of Fractions of 815/509, 615/744
1. What is the HCF of 815,615?
The HCF of 815,615 is 5
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 815/509, 615/744?
Answer: GCF of Numerators as per given numbers 815/509, 615/744 is
GCF of Numerators i.e. for 815,615 is 5
LCM of denominators i.e. for 509,744 is 378696.
Thus, GCF of Fractions is 5/378696.Finally, GCF of Fractions for 815/509, 615/744 is 5/378696.