GCF of 3867/803, 2601/2311
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3867/803, 2601/2311 i.e 3/1855733 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3867/803, 2601/2311.
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 3867/803,2601/2311?
Given fractions are 3867/803,2601/2311
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 3867/803,2601/2311, numerators are 3867,2601
Denominators are 803,2311
The GCF of 3867,2601 is 3 .
LCM of 803,2311 is 1855733.
The greatest common factor of 3867/803,2601/2311 = [GCF of 3867,2601]/[LCM of 803,2311]= 3/1855733
Therefore, the GCF of 3867/803,2601/2311 is 3/1855733.
To find the highest common factor of 3867,2601, we have to find the factors of both numbers and list the highest common factor.
The factors of 3867 are 1, 3, 1289, 3867
The factors of 2601 are 1, 3, 9, 17, 51, 153, 289, 867, 2601
The HCF of 3867,2601 is 3.
Lets's calculate GCF of 3867,2601
| 3 | 3867, 2601 |
| 1289, 867 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3867,2601 By Matching Biggest Common Factor Method
Now, list down the factors of 3867
:1,3,1289,3867
Now, list down the factors of 2601
:1,3,9,17,51,153,289,867,2601
Greatest Common Factor
We found the factors 3867,2601 . The biggest common factor number is the GCF number.
So the greatest common factor 3867,2601 is 3.
Lets's calculate LCM of 803,2311
Given numbers has no common factors except 1. So, there LCM is their product i.e 1855733
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1855733
Therefore, the GCF of Fractions 3867/803,2601/2311 is 3/1855733
Least Common Multiple of 803,2311 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 803,2311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,2311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(803,2311) x common factors =1 x 1 = 1
LCM(803,2311) = ( 803 × 2311 ) / 1
LCM(803,2311) = 1855733 / 1
LCM(803,2311) = 1855733
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3867/803, 2601/2311
1. What is the HCF of 3867,2601?
The HCF of 3867,2601 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 3867/803, 2601/2311?
Answer: GCF of Numerators as per given numbers 3867/803, 2601/2311 is
GCF of Numerators i.e. for 3867,2601 is 3
LCM of denominators i.e. for 803,2311 is 1855733.
Thus, GCF of Fractions is 3/1855733.Finally, GCF of Fractions for 3867/803, 2601/2311 is 3/1855733.