GCF of 3861/541, 3438/8903
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3861/541, 3438/8903 i.e 9/4816523 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3861/541, 3438/8903.
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 3861/541,3438/8903?
Given fractions are 3861/541,3438/8903
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 3861/541,3438/8903, numerators are 3861,3438
Denominators are 541,8903
The GCF of 3861,3438 is 9 .
LCM of 541,8903 is 4816523.
The greatest common factor of 3861/541,3438/8903 = [GCF of 3861,3438]/[LCM of 541,8903]= 9/4816523
Therefore, the GCF of 3861/541,3438/8903 is 9/4816523.
To find the highest common factor of 3861,3438, we have to find the factors of both numbers and list the highest common factor.
The factors of 3861 are 1, 3, 9, 11, 13, 27, 33, 39, 99, 117, 143, 297, 351, 429, 1287, 3861
The factors of 3438 are 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438
The HCF of 3861,3438 is 9.
Lets's calculate GCF of 3861,3438
| 3 | 3861, 3438 |
| 3 | 1287, 1146 |
| 429, 382 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3861,3438 By Matching Biggest Common Factor Method
Now, list down the factors of 3861
:1,3,9,11,13,27,33,39,99,117,143,297,351,429,1287,3861
Now, list down the factors of 3438
:1,2,3,6,9,18,191,382,573,1146,1719,3438
Greatest Common Factor
We found the factors 3861,3438 . The biggest common factor number is the GCF number.
So the greatest common factor 3861,3438 is 9.
Lets's calculate LCM of 541,8903
Given numbers has no common factors except 1. So, there LCM is their product i.e 4816523
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/4816523
Therefore, the GCF of Fractions 3861/541,3438/8903 is 9/4816523
Least Common Multiple of 541,8903 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 541,8903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,8903) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,8903) x common factors =1 x 1 = 1
LCM(541,8903) = ( 541 × 8903 ) / 1
LCM(541,8903) = 4816523 / 1
LCM(541,8903) = 4816523
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FAQs on GCF of Fractions of 3861/541, 3438/8903
1. What is the HCF of 3861,3438?
The HCF of 3861,3438 is 9
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 3861/541, 3438/8903?
Answer: GCF of Numerators as per given numbers 3861/541, 3438/8903 is
GCF of Numerators i.e. for 3861,3438 is 9
LCM of denominators i.e. for 541,8903 is 4816523.
Thus, GCF of Fractions is 9/4816523.Finally, GCF of Fractions for 3861/541, 3438/8903 is 9/4816523.