Use our free GCF of Fractions Calculator tool to compute the GCF of 4023/511, 2682/4267 i.e 1341/2180437 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4023/511, 2682/4267.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4023/511,2682/4267
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 4023/511,2682/4267, numerators are 4023,2682
Denominators are 511,4267
The GCF of 4023,2682 is 1341 .
LCM of 511,4267 is 2180437.
The greatest common factor of 4023/511,2682/4267 = [GCF of 4023,2682]/[LCM of 511,4267]= 1341/2180437
Therefore, the GCF of 4023/511,2682/4267 is 1341/2180437.
To find the highest common factor of 4023,2682, we have to find the factors of both numbers and list the highest common factor.
The factors of 4023 are 1, 3, 9, 27, 149, 447, 1341, 4023
The factors of 2682 are 1, 2, 3, 6, 9, 18, 149, 298, 447, 894, 1341, 2682
The HCF of 4023,2682 is 1341.
Lets's calculate GCF of 4023,2682
3 | 4023, 2682 |
3 | 1341, 894 |
149 | 447, 298 |
3, 2 |
∴ So the GCF of the given numbers is 3 x 3 x 149 = 1341
Now, list down the factors of 4023
:1,3,9,27,149,447,1341,4023
Now, list down the factors of 2682
:1,2,3,6,9,18,149,298,447,894,1341,2682
Greatest Common Factor
We found the factors 4023,2682 . The biggest common factor number is the GCF number.
So the greatest common factor 4023,2682 is 1341.
Lets's calculate LCM of 511,4267
Given numbers has no common factors except 1. So, there LCM is their product i.e 2180437
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1341/2180437
Therefore, the GCF of Fractions 4023/511,2682/4267 is 1341/2180437
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 511,4267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,4267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,4267) x common factors =1 x 1 = 1
LCM(511,4267) = ( 511 × 4267 ) / 1
LCM(511,4267) = 2180437 / 1
LCM(511,4267) = 2180437
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4023,2682?
The HCF of 4023,2682 is 1341
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 4023/511, 2682/4267?
Answer: GCF of Numerators as per given numbers 4023/511, 2682/4267 is
GCF of Numerators i.e. for 4023,2682 is 1341
LCM of denominators i.e. for 511,4267 is 2180437.
Thus, GCF of Fractions is 1341/2180437.Finally, GCF of Fractions for 4023/511, 2682/4267 is 1341/2180437.