GCF of 4181/831, 5416/4101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4181/831, 5416/4101 i.e 1/1135977 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4181/831, 5416/4101.
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 4181/831,5416/4101?
Given fractions are 4181/831,5416/4101
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 4181/831,5416/4101, numerators are 4181,5416
Denominators are 831,4101
The GCF of 4181,5416 is 1 .
LCM of 831,4101 is 1135977.
The greatest common factor of 4181/831,5416/4101 = [GCF of 4181,5416]/[LCM of 831,4101]= 1/1135977
Therefore, the GCF of 4181/831,5416/4101 is 1/1135977.
To find the highest common factor of 4181,5416, we have to find the factors of both numbers and list the highest common factor.
The factors of 4181 are 1, 37, 113, 4181
The factors of 5416 are 1, 2, 4, 8, 677, 1354, 2708, 5416
The HCF of 4181,5416 is 1.
Lets's calculate GCF of 4181,5416
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4181,5416 By Matching Biggest Common Factor Method
Now, list down the factors of 4181
:1,37,113,4181
Now, list down the factors of 5416
:1,2,4,8,677,1354,2708,5416
Greatest Common Factor
We found the factors 4181,5416 . The biggest common factor number is the GCF number.
So the greatest common factor 4181,5416 is 1.
Lets's calculate LCM of 831,4101
| 3 | 831, 4101 |
| 277, 1367 |
∴ So the LCM of the given numbers is 3 x 277 x 1367 = 1135977
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1135977
Therefore, the GCF of Fractions 4181/831,5416/4101 is 1/1135977
Least Common Multiple of 831,4101 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 831,4101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,4101) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(831,4101) x common factors =3 x 1 = 3
LCM(831,4101) = ( 831 × 4101 ) / 3
LCM(831,4101) = 3407931 / 3
LCM(831,4101) = 1135977
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FAQs on GCF of Fractions of 4181/831, 5416/4101
1. What is the HCF of 4181,5416?
The HCF of 4181,5416 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 4181/831, 5416/4101?
Answer: GCF of Numerators as per given numbers 4181/831, 5416/4101 is
GCF of Numerators i.e. for 4181,5416 is 1
LCM of denominators i.e. for 831,4101 is 1135977.
Thus, GCF of Fractions is 1/1135977.Finally, GCF of Fractions for 4181/831, 5416/4101 is 1/1135977.