GCF of 3684/313, 6234/9293
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3684/313, 6234/9293 i.e 6/2908709 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3684/313, 6234/9293.
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 3684/313,6234/9293?
Given fractions are 3684/313,6234/9293
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 3684/313,6234/9293, numerators are 3684,6234
Denominators are 313,9293
The GCF of 3684,6234 is 6 .
LCM of 313,9293 is 2908709.
The greatest common factor of 3684/313,6234/9293 = [GCF of 3684,6234]/[LCM of 313,9293]= 6/2908709
Therefore, the GCF of 3684/313,6234/9293 is 6/2908709.
To find the highest common factor of 3684,6234, we have to find the factors of both numbers and list the highest common factor.
The factors of 3684 are 1, 2, 3, 4, 6, 12, 307, 614, 921, 1228, 1842, 3684
The factors of 6234 are 1, 2, 3, 6, 1039, 2078, 3117, 6234
The HCF of 3684,6234 is 6.
Lets's calculate GCF of 3684,6234
| 2 | 3684, 6234 |
| 3 | 1842, 3117 |
| 614, 1039 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3684,6234 By Matching Biggest Common Factor Method
Now, list down the factors of 3684
:1,2,3,4,6,12,307,614,921,1228,1842,3684
Now, list down the factors of 6234
:1,2,3,6,1039,2078,3117,6234
Greatest Common Factor
We found the factors 3684,6234 . The biggest common factor number is the GCF number.
So the greatest common factor 3684,6234 is 6.
Lets's calculate LCM of 313,9293
Given numbers has no common factors except 1. So, there LCM is their product i.e 2908709
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2908709
Therefore, the GCF of Fractions 3684/313,6234/9293 is 6/2908709
Least Common Multiple of 313,9293 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 313,9293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,9293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,9293) x common factors =1 x 1 = 1
LCM(313,9293) = ( 313 × 9293 ) / 1
LCM(313,9293) = 2908709 / 1
LCM(313,9293) = 2908709
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3684/313, 6234/9293
1. What is the HCF of 3684,6234?
The HCF of 3684,6234 is 6
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 3684/313, 6234/9293?
Answer: GCF of Numerators as per given numbers 3684/313, 6234/9293 is
GCF of Numerators i.e. for 3684,6234 is 6
LCM of denominators i.e. for 313,9293 is 2908709.
Thus, GCF of Fractions is 6/2908709.Finally, GCF of Fractions for 3684/313, 6234/9293 is 6/2908709.