GCF of 4587/115, 6665/413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4587/115, 6665/413 i.e 1/47495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4587/115, 6665/413.
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 4587/115,6665/413?
Given fractions are 4587/115,6665/413
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 4587/115,6665/413, numerators are 4587,6665
Denominators are 115,413
The GCF of 4587,6665 is 1 .
LCM of 115,413 is 47495.
The greatest common factor of 4587/115,6665/413 = [GCF of 4587,6665]/[LCM of 115,413]= 1/47495
Therefore, the GCF of 4587/115,6665/413 is 1/47495.
To find the highest common factor of 4587,6665, we have to find the factors of both numbers and list the highest common factor.
The factors of 4587 are 1, 3, 11, 33, 139, 417, 1529, 4587
The factors of 6665 are 1, 5, 31, 43, 155, 215, 1333, 6665
The HCF of 4587,6665 is 1.
Lets's calculate GCF of 4587,6665
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4587,6665 By Matching Biggest Common Factor Method
Now, list down the factors of 4587
:1,3,11,33,139,417,1529,4587
Now, list down the factors of 6665
:1,5,31,43,155,215,1333,6665
Greatest Common Factor
We found the factors 4587,6665 . The biggest common factor number is the GCF number.
So the greatest common factor 4587,6665 is 1.
Lets's calculate LCM of 115,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 47495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47495
Therefore, the GCF of Fractions 4587/115,6665/413 is 1/47495
Least Common Multiple of 115,413 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 115,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,413) x common factors =1 x 1 = 1
LCM(115,413) = ( 115 × 413 ) / 1
LCM(115,413) = 47495 / 1
LCM(115,413) = 47495
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FAQs on GCF of Fractions of 4587/115, 6665/413
1. What is the HCF of 4587,6665?
The HCF of 4587,6665 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 4587/115, 6665/413?
Answer: GCF of Numerators as per given numbers 4587/115, 6665/413 is
GCF of Numerators i.e. for 4587,6665 is 1
LCM of denominators i.e. for 115,413 is 47495.
Thus, GCF of Fractions is 1/47495.Finally, GCF of Fractions for 4587/115, 6665/413 is 1/47495.