Use our free GCF of Fractions Calculator tool to compute the GCF of 8643/758, 5293/2252 i.e 67/853508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8643/758, 5293/2252.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8643/758,5293/2252
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 8643/758,5293/2252, numerators are 8643,5293
Denominators are 758,2252
The GCF of 8643,5293 is 67 .
LCM of 758,2252 is 853508.
The greatest common factor of 8643/758,5293/2252 = [GCF of 8643,5293]/[LCM of 758,2252]= 67/853508
Therefore, the GCF of 8643/758,5293/2252 is 67/853508.
To find the highest common factor of 8643,5293, we have to find the factors of both numbers and list the highest common factor.
The factors of 8643 are 1, 3, 43, 67, 129, 201, 2881, 8643
The factors of 5293 are 1, 67, 79, 5293
The HCF of 8643,5293 is 67.
Lets's calculate GCF of 8643,5293
67 | 8643, 5293 |
129, 79 |
∴ So the GCF of the given numbers is 67 = 67
Now, list down the factors of 8643
:1,3,43,67,129,201,2881,8643
Now, list down the factors of 5293
:1,67,79,5293
Greatest Common Factor
We found the factors 8643,5293 . The biggest common factor number is the GCF number.
So the greatest common factor 8643,5293 is 67.
Lets's calculate LCM of 758,2252
2 | 758, 2252 |
379, 1126 |
∴ So the LCM of the given numbers is 2 x 379 x 1126 = 853508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/853508
Therefore, the GCF of Fractions 8643/758,5293/2252 is 67/853508
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 758,2252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,2252) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(758,2252) x common factors =2 x 1 = 2
LCM(758,2252) = ( 758 × 2252 ) / 2
LCM(758,2252) = 1707016 / 2
LCM(758,2252) = 853508
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8643,5293?
The HCF of 8643,5293 is 67
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 8643/758, 5293/2252?
Answer: GCF of Numerators as per given numbers 8643/758, 5293/2252 is
GCF of Numerators i.e. for 8643,5293 is 67
LCM of denominators i.e. for 758,2252 is 853508.
Thus, GCF of Fractions is 67/853508.Finally, GCF of Fractions for 8643/758, 5293/2252 is 67/853508.