GCF of 3831/241, 8896/9462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3831/241, 8896/9462 i.e 1/2280342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3831/241, 8896/9462.
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 3831/241,8896/9462?
Given fractions are 3831/241,8896/9462
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 3831/241,8896/9462, numerators are 3831,8896
Denominators are 241,9462
The GCF of 3831,8896 is 1 .
LCM of 241,9462 is 2280342.
The greatest common factor of 3831/241,8896/9462 = [GCF of 3831,8896]/[LCM of 241,9462]= 1/2280342
Therefore, the GCF of 3831/241,8896/9462 is 1/2280342.
To find the highest common factor of 3831,8896, 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 8896 are 1, 2, 4, 8, 16, 32, 64, 139, 278, 556, 1112, 2224, 4448, 8896
The HCF of 3831,8896 is 1.
Lets's calculate GCF of 3831,8896
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3831,8896 By Matching Biggest Common Factor Method
Now, list down the factors of 3831
:1,3,1277,3831
Now, list down the factors of 8896
:1,2,4,8,16,32,64,139,278,556,1112,2224,4448,8896
Greatest Common Factor
We found the factors 3831,8896 . The biggest common factor number is the GCF number.
So the greatest common factor 3831,8896 is 1.
Lets's calculate LCM of 241,9462
Given numbers has no common factors except 1. So, there LCM is their product i.e 2280342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2280342
Therefore, the GCF of Fractions 3831/241,8896/9462 is 1/2280342
Least Common Multiple of 241,9462 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 241,9462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,9462) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,9462) x common factors =1 x 1 = 1
LCM(241,9462) = ( 241 × 9462 ) / 1
LCM(241,9462) = 2280342 / 1
LCM(241,9462) = 2280342
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FAQs on GCF of Fractions of 3831/241, 8896/9462
1. What is the HCF of 3831,8896?
The HCF of 3831,8896 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 3831/241, 8896/9462?
Answer: GCF of Numerators as per given numbers 3831/241, 8896/9462 is
GCF of Numerators i.e. for 3831,8896 is 1
LCM of denominators i.e. for 241,9462 is 2280342.
Thus, GCF of Fractions is 1/2280342.Finally, GCF of Fractions for 3831/241, 8896/9462 is 1/2280342.