GCF of 5186/173, 6146/4580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5186/173, 6146/4580 i.e 2/792340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5186/173, 6146/4580.
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 5186/173,6146/4580?
Given fractions are 5186/173,6146/4580
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 5186/173,6146/4580, numerators are 5186,6146
Denominators are 173,4580
The GCF of 5186,6146 is 2 .
LCM of 173,4580 is 792340.
The greatest common factor of 5186/173,6146/4580 = [GCF of 5186,6146]/[LCM of 173,4580]= 2/792340
Therefore, the GCF of 5186/173,6146/4580 is 2/792340.
To find the highest common factor of 5186,6146, we have to find the factors of both numbers and list the highest common factor.
The factors of 5186 are 1, 2, 2593, 5186
The factors of 6146 are 1, 2, 7, 14, 439, 878, 3073, 6146
The HCF of 5186,6146 is 2.
Lets's calculate GCF of 5186,6146
| 2 | 5186, 6146 |
| 2593, 3073 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5186,6146 By Matching Biggest Common Factor Method
Now, list down the factors of 5186
:1,2,2593,5186
Now, list down the factors of 6146
:1,2,7,14,439,878,3073,6146
Greatest Common Factor
We found the factors 5186,6146 . The biggest common factor number is the GCF number.
So the greatest common factor 5186,6146 is 2.
Lets's calculate LCM of 173,4580
Given numbers has no common factors except 1. So, there LCM is their product i.e 792340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/792340
Therefore, the GCF of Fractions 5186/173,6146/4580 is 2/792340
Least Common Multiple of 173,4580 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 173,4580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,4580) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,4580) x common factors =1 x 1 = 1
LCM(173,4580) = ( 173 × 4580 ) / 1
LCM(173,4580) = 792340 / 1
LCM(173,4580) = 792340
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5186/173, 6146/4580
1. What is the HCF of 5186,6146?
The HCF of 5186,6146 is 2
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 5186/173, 6146/4580?
Answer: GCF of Numerators as per given numbers 5186/173, 6146/4580 is
GCF of Numerators i.e. for 5186,6146 is 2
LCM of denominators i.e. for 173,4580 is 792340.
Thus, GCF of Fractions is 2/792340.Finally, GCF of Fractions for 5186/173, 6146/4580 is 2/792340.