GCF of 5093/173, 6019/3733
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5093/173, 6019/3733 i.e 463/645809 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5093/173, 6019/3733.
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 5093/173,6019/3733?
Given fractions are 5093/173,6019/3733
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 5093/173,6019/3733, numerators are 5093,6019
Denominators are 173,3733
The GCF of 5093,6019 is 463 .
LCM of 173,3733 is 645809.
The greatest common factor of 5093/173,6019/3733 = [GCF of 5093,6019]/[LCM of 173,3733]= 463/645809
Therefore, the GCF of 5093/173,6019/3733 is 463/645809.
To find the highest common factor of 5093,6019, we have to find the factors of both numbers and list the highest common factor.
The factors of 5093 are 1, 11, 463, 5093
The factors of 6019 are 1, 13, 463, 6019
The HCF of 5093,6019 is 463.
Lets's calculate GCF of 5093,6019
| 463 | 5093, 6019 |
| 11, 13 |
∴ So the GCF of the given numbers is 463 = 463
Greatest Common Factor of 5093,6019 By Matching Biggest Common Factor Method
Now, list down the factors of 5093
:1,11,463,5093
Now, list down the factors of 6019
:1,13,463,6019
Greatest Common Factor
We found the factors 5093,6019 . The biggest common factor number is the GCF number.
So the greatest common factor 5093,6019 is 463.
Lets's calculate LCM of 173,3733
Given numbers has no common factors except 1. So, there LCM is their product i.e 645809
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 463/645809
Therefore, the GCF of Fractions 5093/173,6019/3733 is 463/645809
Least Common Multiple of 173,3733 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 173,3733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,3733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,3733) x common factors =1 x 1 = 1
LCM(173,3733) = ( 173 × 3733 ) / 1
LCM(173,3733) = 645809 / 1
LCM(173,3733) = 645809
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5093/173, 6019/3733
1. What is the HCF of 5093,6019?
The HCF of 5093,6019 is 463
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 5093/173, 6019/3733?
Answer: GCF of Numerators as per given numbers 5093/173, 6019/3733 is
GCF of Numerators i.e. for 5093,6019 is 463
LCM of denominators i.e. for 173,3733 is 645809.
Thus, GCF of Fractions is 463/645809.Finally, GCF of Fractions for 5093/173, 6019/3733 is 463/645809.