GCF of 9194/305, 3396/472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9194/305, 3396/472 i.e 2/143960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9194/305, 3396/472.
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 9194/305,3396/472?
Given fractions are 9194/305,3396/472
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 9194/305,3396/472, numerators are 9194,3396
Denominators are 305,472
The GCF of 9194,3396 is 2 .
LCM of 305,472 is 143960.
The greatest common factor of 9194/305,3396/472 = [GCF of 9194,3396]/[LCM of 305,472]= 2/143960
Therefore, the GCF of 9194/305,3396/472 is 2/143960.
To find the highest common factor of 9194,3396, we have to find the factors of both numbers and list the highest common factor.
The factors of 9194 are 1, 2, 4597, 9194
The factors of 3396 are 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698, 3396
The HCF of 9194,3396 is 2.
Lets's calculate GCF of 9194,3396
| 2 | 9194, 3396 |
| 4597, 1698 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9194,3396 By Matching Biggest Common Factor Method
Now, list down the factors of 9194
:1,2,4597,9194
Now, list down the factors of 3396
:1,2,3,4,6,12,283,566,849,1132,1698,3396
Greatest Common Factor
We found the factors 9194,3396 . The biggest common factor number is the GCF number.
So the greatest common factor 9194,3396 is 2.
Lets's calculate LCM of 305,472
Given numbers has no common factors except 1. So, there LCM is their product i.e 143960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/143960
Therefore, the GCF of Fractions 9194/305,3396/472 is 2/143960
Least Common Multiple of 305,472 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 305,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,472) x common factors =1 x 1 = 1
LCM(305,472) = ( 305 × 472 ) / 1
LCM(305,472) = 143960 / 1
LCM(305,472) = 143960
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9194/305, 3396/472
1. What is the HCF of 9194,3396?
The HCF of 9194,3396 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 9194/305, 3396/472?
Answer: GCF of Numerators as per given numbers 9194/305, 3396/472 is
GCF of Numerators i.e. for 9194,3396 is 2
LCM of denominators i.e. for 305,472 is 143960.
Thus, GCF of Fractions is 2/143960.Finally, GCF of Fractions for 9194/305, 3396/472 is 2/143960.