GCF of 5014/498, 8365/5115
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5014/498, 8365/5115 i.e 1/849090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5014/498, 8365/5115.
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 5014/498,8365/5115?
Given fractions are 5014/498,8365/5115
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 5014/498,8365/5115, numerators are 5014,8365
Denominators are 498,5115
The GCF of 5014,8365 is 1 .
LCM of 498,5115 is 849090.
The greatest common factor of 5014/498,8365/5115 = [GCF of 5014,8365]/[LCM of 498,5115]= 1/849090
Therefore, the GCF of 5014/498,8365/5115 is 1/849090.
To find the highest common factor of 5014,8365, we have to find the factors of both numbers and list the highest common factor.
The factors of 5014 are 1, 2, 23, 46, 109, 218, 2507, 5014
The factors of 8365 are 1, 5, 7, 35, 239, 1195, 1673, 8365
The HCF of 5014,8365 is 1.
Lets's calculate GCF of 5014,8365
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5014,8365 By Matching Biggest Common Factor Method
Now, list down the factors of 5014
:1,2,23,46,109,218,2507,5014
Now, list down the factors of 8365
:1,5,7,35,239,1195,1673,8365
Greatest Common Factor
We found the factors 5014,8365 . The biggest common factor number is the GCF number.
So the greatest common factor 5014,8365 is 1.
Lets's calculate LCM of 498,5115
| 3 | 498, 5115 |
| 166, 1705 |
∴ So the LCM of the given numbers is 3 x 166 x 1705 = 849090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/849090
Therefore, the GCF of Fractions 5014/498,8365/5115 is 1/849090
Least Common Multiple of 498,5115 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 498,5115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,5115) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(498,5115) x common factors =3 x 1 = 3
LCM(498,5115) = ( 498 × 5115 ) / 3
LCM(498,5115) = 2547270 / 3
LCM(498,5115) = 849090
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5014/498, 8365/5115
1. What is the HCF of 5014,8365?
The HCF of 5014,8365 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 5014/498, 8365/5115?
Answer: GCF of Numerators as per given numbers 5014/498, 8365/5115 is
GCF of Numerators i.e. for 5014,8365 is 1
LCM of denominators i.e. for 498,5115 is 849090.
Thus, GCF of Fractions is 1/849090.Finally, GCF of Fractions for 5014/498, 8365/5115 is 1/849090.