GCF of 6105/875, 8001/1833
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6105/875, 8001/1833 i.e 3/1603875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6105/875, 8001/1833.
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 6105/875,8001/1833?
Given fractions are 6105/875,8001/1833
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 6105/875,8001/1833, numerators are 6105,8001
Denominators are 875,1833
The GCF of 6105,8001 is 3 .
LCM of 875,1833 is 1603875.
The greatest common factor of 6105/875,8001/1833 = [GCF of 6105,8001]/[LCM of 875,1833]= 3/1603875
Therefore, the GCF of 6105/875,8001/1833 is 3/1603875.
To find the highest common factor of 6105,8001, we have to find the factors of both numbers and list the highest common factor.
The factors of 6105 are 1, 3, 5, 11, 15, 33, 37, 55, 111, 165, 185, 407, 555, 1221, 2035, 6105
The factors of 8001 are 1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001
The HCF of 6105,8001 is 3.
Lets's calculate GCF of 6105,8001
| 3 | 6105, 8001 |
| 2035, 2667 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6105,8001 By Matching Biggest Common Factor Method
Now, list down the factors of 6105
:1,3,5,11,15,33,37,55,111,165,185,407,555,1221,2035,6105
Now, list down the factors of 8001
:1,3,7,9,21,63,127,381,889,1143,2667,8001
Greatest Common Factor
We found the factors 6105,8001 . The biggest common factor number is the GCF number.
So the greatest common factor 6105,8001 is 3.
Lets's calculate LCM of 875,1833
Given numbers has no common factors except 1. So, there LCM is their product i.e 1603875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1603875
Therefore, the GCF of Fractions 6105/875,8001/1833 is 3/1603875
Least Common Multiple of 875,1833 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 875,1833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,1833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,1833) x common factors =1 x 1 = 1
LCM(875,1833) = ( 875 × 1833 ) / 1
LCM(875,1833) = 1603875 / 1
LCM(875,1833) = 1603875
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6105/875, 8001/1833
1. What is the HCF of 6105,8001?
The HCF of 6105,8001 is 3
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 6105/875, 8001/1833?
Answer: GCF of Numerators as per given numbers 6105/875, 8001/1833 is
GCF of Numerators i.e. for 6105,8001 is 3
LCM of denominators i.e. for 875,1833 is 1603875.
Thus, GCF of Fractions is 3/1603875.Finally, GCF of Fractions for 6105/875, 8001/1833 is 3/1603875.