GCF of 3831/198, 9104/298
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3831/198, 9104/298 i.e 1/29502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3831/198, 9104/298.
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 3831/198,9104/298?
Given fractions are 3831/198,9104/298
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 3831/198,9104/298, numerators are 3831,9104
Denominators are 198,298
The GCF of 3831,9104 is 1 .
LCM of 198,298 is 29502.
The greatest common factor of 3831/198,9104/298 = [GCF of 3831,9104]/[LCM of 198,298]= 1/29502
Therefore, the GCF of 3831/198,9104/298 is 1/29502.
To find the highest common factor of 3831,9104, we have to find the factors of both numbers and list the highest common factor.
The factors of 3831 are 1, 3, 1277, 3831
The factors of 9104 are 1, 2, 4, 8, 16, 569, 1138, 2276, 4552, 9104
The HCF of 3831,9104 is 1.
Lets's calculate GCF of 3831,9104
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3831,9104 By Matching Biggest Common Factor Method
Now, list down the factors of 3831
:1,3,1277,3831
Now, list down the factors of 9104
:1,2,4,8,16,569,1138,2276,4552,9104
Greatest Common Factor
We found the factors 3831,9104 . The biggest common factor number is the GCF number.
So the greatest common factor 3831,9104 is 1.
Lets's calculate LCM of 198,298
| 2 | 198, 298 |
| 99, 149 |
∴ So the LCM of the given numbers is 2 x 99 x 149 = 29502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29502
Therefore, the GCF of Fractions 3831/198,9104/298 is 1/29502
Least Common Multiple of 198,298 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 198,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,298) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(198,298) x common factors =2 x 1 = 2
LCM(198,298) = ( 198 × 298 ) / 2
LCM(198,298) = 59004 / 2
LCM(198,298) = 29502
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FAQs on GCF of Fractions of 3831/198, 9104/298
1. What is the HCF of 3831,9104?
The HCF of 3831,9104 is 1
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 3831/198, 9104/298?
Answer: GCF of Numerators as per given numbers 3831/198, 9104/298 is
GCF of Numerators i.e. for 3831,9104 is 1
LCM of denominators i.e. for 198,298 is 29502.
Thus, GCF of Fractions is 1/29502.Finally, GCF of Fractions for 3831/198, 9104/298 is 1/29502.