Use our free GCF of Fractions Calculator tool to compute the GCF of 1347/756, 8319/1388 i.e 3/262332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1347/756, 8319/1388.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1347/756,8319/1388
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 1347/756,8319/1388, numerators are 1347,8319
Denominators are 756,1388
The GCF of 1347,8319 is 3 .
LCM of 756,1388 is 262332.
The greatest common factor of 1347/756,8319/1388 = [GCF of 1347,8319]/[LCM of 756,1388]= 3/262332
Therefore, the GCF of 1347/756,8319/1388 is 3/262332.
To find the highest common factor of 1347,8319, we have to find the factors of both numbers and list the highest common factor.
The factors of 1347 are 1, 3, 449, 1347
The factors of 8319 are 1, 3, 47, 59, 141, 177, 2773, 8319
The HCF of 1347,8319 is 3.
Lets's calculate GCF of 1347,8319
3 | 1347, 8319 |
449, 2773 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 1347
:1,3,449,1347
Now, list down the factors of 8319
:1,3,47,59,141,177,2773,8319
Greatest Common Factor
We found the factors 1347,8319 . The biggest common factor number is the GCF number.
So the greatest common factor 1347,8319 is 3.
Lets's calculate LCM of 756,1388
2 | 756, 1388 |
2 | 378, 694 |
189, 347 |
∴ So the LCM of the given numbers is 2 x 2 x 189 x 347 = 262332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/262332
Therefore, the GCF of Fractions 1347/756,8319/1388 is 3/262332
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 756,1388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,1388) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(756,1388) x common factors =4 x 1 = 4
LCM(756,1388) = ( 756 × 1388 ) / 4
LCM(756,1388) = 1049328 / 4
LCM(756,1388) = 262332
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1347,8319?
The HCF of 1347,8319 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 1347/756, 8319/1388?
Answer: GCF of Numerators as per given numbers 1347/756, 8319/1388 is
GCF of Numerators i.e. for 1347,8319 is 3
LCM of denominators i.e. for 756,1388 is 262332.
Thus, GCF of Fractions is 3/262332.Finally, GCF of Fractions for 1347/756, 8319/1388 is 3/262332.