GCF of 5287/365, 7515/4965
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5287/365, 7515/4965 i.e 1/362445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5287/365, 7515/4965.
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 5287/365,7515/4965?
Given fractions are 5287/365,7515/4965
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 5287/365,7515/4965, numerators are 5287,7515
Denominators are 365,4965
The GCF of 5287,7515 is 1 .
LCM of 365,4965 is 362445.
The greatest common factor of 5287/365,7515/4965 = [GCF of 5287,7515]/[LCM of 365,4965]= 1/362445
Therefore, the GCF of 5287/365,7515/4965 is 1/362445.
To find the highest common factor of 5287,7515, we have to find the factors of both numbers and list the highest common factor.
The factors of 5287 are 1, 17, 311, 5287
The factors of 7515 are 1, 3, 5, 9, 15, 45, 167, 501, 835, 1503, 2505, 7515
The HCF of 5287,7515 is 1.
Lets's calculate GCF of 5287,7515
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5287,7515 By Matching Biggest Common Factor Method
Now, list down the factors of 5287
:1,17,311,5287
Now, list down the factors of 7515
:1,3,5,9,15,45,167,501,835,1503,2505,7515
Greatest Common Factor
We found the factors 5287,7515 . The biggest common factor number is the GCF number.
So the greatest common factor 5287,7515 is 1.
Lets's calculate LCM of 365,4965
| 5 | 365, 4965 |
| 73, 993 |
∴ So the LCM of the given numbers is 5 x 73 x 993 = 362445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/362445
Therefore, the GCF of Fractions 5287/365,7515/4965 is 1/362445
Least Common Multiple of 365,4965 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 365,4965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,4965) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(365,4965) x common factors =5 x 1 = 5
LCM(365,4965) = ( 365 × 4965 ) / 5
LCM(365,4965) = 1812225 / 5
LCM(365,4965) = 362445
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FAQs on GCF of Fractions of 5287/365, 7515/4965
1. What is the HCF of 5287,7515?
The HCF of 5287,7515 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 5287/365, 7515/4965?
Answer: GCF of Numerators as per given numbers 5287/365, 7515/4965 is
GCF of Numerators i.e. for 5287,7515 is 1
LCM of denominators i.e. for 365,4965 is 362445.
Thus, GCF of Fractions is 1/362445.Finally, GCF of Fractions for 5287/365, 7515/4965 is 1/362445.