GCF of 3184/188, 8116/5078
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3184/188, 8116/5078 i.e 4/477332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3184/188, 8116/5078.
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 3184/188,8116/5078?
Given fractions are 3184/188,8116/5078
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 3184/188,8116/5078, numerators are 3184,8116
Denominators are 188,5078
The GCF of 3184,8116 is 4 .
LCM of 188,5078 is 477332.
The greatest common factor of 3184/188,8116/5078 = [GCF of 3184,8116]/[LCM of 188,5078]= 4/477332
Therefore, the GCF of 3184/188,8116/5078 is 4/477332.
To find the highest common factor of 3184,8116, we have to find the factors of both numbers and list the highest common factor.
The factors of 3184 are 1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184
The factors of 8116 are 1, 2, 4, 2029, 4058, 8116
The HCF of 3184,8116 is 4.
Lets's calculate GCF of 3184,8116
| 2 | 3184, 8116 |
| 2 | 1592, 4058 |
| 796, 2029 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3184,8116 By Matching Biggest Common Factor Method
Now, list down the factors of 3184
:1,2,4,8,16,199,398,796,1592,3184
Now, list down the factors of 8116
:1,2,4,2029,4058,8116
Greatest Common Factor
We found the factors 3184,8116 . The biggest common factor number is the GCF number.
So the greatest common factor 3184,8116 is 4.
Lets's calculate LCM of 188,5078
| 2 | 188, 5078 |
| 94, 2539 |
∴ So the LCM of the given numbers is 2 x 94 x 2539 = 477332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/477332
Therefore, the GCF of Fractions 3184/188,8116/5078 is 4/477332
Least Common Multiple of 188,5078 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 188,5078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,5078) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(188,5078) x common factors =2 x 1 = 2
LCM(188,5078) = ( 188 × 5078 ) / 2
LCM(188,5078) = 954664 / 2
LCM(188,5078) = 477332
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3184/188, 8116/5078
1. What is the HCF of 3184,8116?
The HCF of 3184,8116 is 4
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 3184/188, 8116/5078?
Answer: GCF of Numerators as per given numbers 3184/188, 8116/5078 is
GCF of Numerators i.e. for 3184,8116 is 4
LCM of denominators i.e. for 188,5078 is 477332.
Thus, GCF of Fractions is 4/477332.Finally, GCF of Fractions for 3184/188, 8116/5078 is 4/477332.