GCF of 4191/812, 8049/2671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4191/812, 8049/2671 i.e 3/2168852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4191/812, 8049/2671.
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 4191/812,8049/2671?
Given fractions are 4191/812,8049/2671
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 4191/812,8049/2671, numerators are 4191,8049
Denominators are 812,2671
The GCF of 4191,8049 is 3 .
LCM of 812,2671 is 2168852.
The greatest common factor of 4191/812,8049/2671 = [GCF of 4191,8049]/[LCM of 812,2671]= 3/2168852
Therefore, the GCF of 4191/812,8049/2671 is 3/2168852.
To find the highest common factor of 4191,8049, we have to find the factors of both numbers and list the highest common factor.
The factors of 4191 are 1, 3, 11, 33, 127, 381, 1397, 4191
The factors of 8049 are 1, 3, 2683, 8049
The HCF of 4191,8049 is 3.
Lets's calculate GCF of 4191,8049
| 3 | 4191, 8049 |
| 1397, 2683 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4191,8049 By Matching Biggest Common Factor Method
Now, list down the factors of 4191
:1,3,11,33,127,381,1397,4191
Now, list down the factors of 8049
:1,3,2683,8049
Greatest Common Factor
We found the factors 4191,8049 . The biggest common factor number is the GCF number.
So the greatest common factor 4191,8049 is 3.
Lets's calculate LCM of 812,2671
Given numbers has no common factors except 1. So, there LCM is their product i.e 2168852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2168852
Therefore, the GCF of Fractions 4191/812,8049/2671 is 3/2168852
Least Common Multiple of 812,2671 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 812,2671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,2671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(812,2671) x common factors =1 x 1 = 1
LCM(812,2671) = ( 812 × 2671 ) / 1
LCM(812,2671) = 2168852 / 1
LCM(812,2671) = 2168852
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4191/812, 8049/2671
1. What is the HCF of 4191,8049?
The HCF of 4191,8049 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 4191/812, 8049/2671?
Answer: GCF of Numerators as per given numbers 4191/812, 8049/2671 is
GCF of Numerators i.e. for 4191,8049 is 3
LCM of denominators i.e. for 812,2671 is 2168852.
Thus, GCF of Fractions is 3/2168852.Finally, GCF of Fractions for 4191/812, 8049/2671 is 3/2168852.