GCF of 3117/404, 6828/9481
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3117/404, 6828/9481 i.e 3/3830324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3117/404, 6828/9481.
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 3117/404,6828/9481?
Given fractions are 3117/404,6828/9481
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 3117/404,6828/9481, numerators are 3117,6828
Denominators are 404,9481
The GCF of 3117,6828 is 3 .
LCM of 404,9481 is 3830324.
The greatest common factor of 3117/404,6828/9481 = [GCF of 3117,6828]/[LCM of 404,9481]= 3/3830324
Therefore, the GCF of 3117/404,6828/9481 is 3/3830324.
To find the highest common factor of 3117,6828, we have to find the factors of both numbers and list the highest common factor.
The factors of 3117 are 1, 3, 1039, 3117
The factors of 6828 are 1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828
The HCF of 3117,6828 is 3.
Lets's calculate GCF of 3117,6828
| 3 | 3117, 6828 |
| 1039, 2276 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3117,6828 By Matching Biggest Common Factor Method
Now, list down the factors of 3117
:1,3,1039,3117
Now, list down the factors of 6828
:1,2,3,4,6,12,569,1138,1707,2276,3414,6828
Greatest Common Factor
We found the factors 3117,6828 . The biggest common factor number is the GCF number.
So the greatest common factor 3117,6828 is 3.
Lets's calculate LCM of 404,9481
Given numbers has no common factors except 1. So, there LCM is their product i.e 3830324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3830324
Therefore, the GCF of Fractions 3117/404,6828/9481 is 3/3830324
Least Common Multiple of 404,9481 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 404,9481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,9481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,9481) x common factors =1 x 1 = 1
LCM(404,9481) = ( 404 × 9481 ) / 1
LCM(404,9481) = 3830324 / 1
LCM(404,9481) = 3830324
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FAQs on GCF of Fractions of 3117/404, 6828/9481
1. What is the HCF of 3117,6828?
The HCF of 3117,6828 is 3
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 3117/404, 6828/9481?
Answer: GCF of Numerators as per given numbers 3117/404, 6828/9481 is
GCF of Numerators i.e. for 3117,6828 is 3
LCM of denominators i.e. for 404,9481 is 3830324.
Thus, GCF of Fractions is 3/3830324.Finally, GCF of Fractions for 3117/404, 6828/9481 is 3/3830324.