GCF of 5941/840, 4104/6098
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5941/840, 4104/6098 i.e 1/2561160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5941/840, 4104/6098.
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 5941/840,4104/6098?
Given fractions are 5941/840,4104/6098
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 5941/840,4104/6098, numerators are 5941,4104
Denominators are 840,6098
The GCF of 5941,4104 is 1 .
LCM of 840,6098 is 2561160.
The greatest common factor of 5941/840,4104/6098 = [GCF of 5941,4104]/[LCM of 840,6098]= 1/2561160
Therefore, the GCF of 5941/840,4104/6098 is 1/2561160.
To find the highest common factor of 5941,4104, we have to find the factors of both numbers and list the highest common factor.
The factors of 5941 are 1, 13, 457, 5941
The factors of 4104 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 108, 114, 152, 171, 216, 228, 342, 456, 513, 684, 1026, 1368, 2052, 4104
The HCF of 5941,4104 is 1.
Lets's calculate GCF of 5941,4104
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5941,4104 By Matching Biggest Common Factor Method
Now, list down the factors of 5941
:1,13,457,5941
Now, list down the factors of 4104
:1,2,3,4,6,8,9,12,18,19,24,27,36,38,54,57,72,76,108,114,152,171,216,228,342,456,513,684,1026,1368,2052,4104
Greatest Common Factor
We found the factors 5941,4104 . The biggest common factor number is the GCF number.
So the greatest common factor 5941,4104 is 1.
Lets's calculate LCM of 840,6098
| 2 | 840, 6098 |
| 420, 3049 |
∴ So the LCM of the given numbers is 2 x 420 x 3049 = 2561160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2561160
Therefore, the GCF of Fractions 5941/840,4104/6098 is 1/2561160
Least Common Multiple of 840,6098 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 840,6098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,6098) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(840,6098) x common factors =2 x 1 = 2
LCM(840,6098) = ( 840 × 6098 ) / 2
LCM(840,6098) = 5122320 / 2
LCM(840,6098) = 2561160
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5941/840, 4104/6098
1. What is the HCF of 5941,4104?
The HCF of 5941,4104 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 5941/840, 4104/6098?
Answer: GCF of Numerators as per given numbers 5941/840, 4104/6098 is
GCF of Numerators i.e. for 5941,4104 is 1
LCM of denominators i.e. for 840,6098 is 2561160.
Thus, GCF of Fractions is 1/2561160.Finally, GCF of Fractions for 5941/840, 4104/6098 is 1/2561160.