GCF of 5065/179, 4165/2783
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5065/179, 4165/2783 i.e 5/498157 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5065/179, 4165/2783.
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 5065/179,4165/2783?
Given fractions are 5065/179,4165/2783
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 5065/179,4165/2783, numerators are 5065,4165
Denominators are 179,2783
The GCF of 5065,4165 is 5 .
LCM of 179,2783 is 498157.
The greatest common factor of 5065/179,4165/2783 = [GCF of 5065,4165]/[LCM of 179,2783]= 5/498157
Therefore, the GCF of 5065/179,4165/2783 is 5/498157.
To find the highest common factor of 5065,4165, we have to find the factors of both numbers and list the highest common factor.
The factors of 5065 are 1, 5, 1013, 5065
The factors of 4165 are 1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833, 4165
The HCF of 5065,4165 is 5.
Lets's calculate GCF of 5065,4165
| 5 | 5065, 4165 |
| 1013, 833 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5065,4165 By Matching Biggest Common Factor Method
Now, list down the factors of 5065
:1,5,1013,5065
Now, list down the factors of 4165
:1,5,7,17,35,49,85,119,245,595,833,4165
Greatest Common Factor
We found the factors 5065,4165 . The biggest common factor number is the GCF number.
So the greatest common factor 5065,4165 is 5.
Lets's calculate LCM of 179,2783
Given numbers has no common factors except 1. So, there LCM is their product i.e 498157
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/498157
Therefore, the GCF of Fractions 5065/179,4165/2783 is 5/498157
Least Common Multiple of 179,2783 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 179,2783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,2783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,2783) x common factors =1 x 1 = 1
LCM(179,2783) = ( 179 × 2783 ) / 1
LCM(179,2783) = 498157 / 1
LCM(179,2783) = 498157
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FAQs on GCF of Fractions of 5065/179, 4165/2783
1. What is the HCF of 5065,4165?
The HCF of 5065,4165 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 5065/179, 4165/2783?
Answer: GCF of Numerators as per given numbers 5065/179, 4165/2783 is
GCF of Numerators i.e. for 5065,4165 is 5
LCM of denominators i.e. for 179,2783 is 498157.
Thus, GCF of Fractions is 5/498157.Finally, GCF of Fractions for 5065/179, 4165/2783 is 5/498157.