Use our free GCF of Fractions Calculator tool to compute the GCF of 8849/396, 3363/7299 i.e 1/321156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8849/396, 3363/7299.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8849/396,3363/7299
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 8849/396,3363/7299, numerators are 8849,3363
Denominators are 396,7299
The GCF of 8849,3363 is 1 .
LCM of 396,7299 is 321156.
The greatest common factor of 8849/396,3363/7299 = [GCF of 8849,3363]/[LCM of 396,7299]= 1/321156
Therefore, the GCF of 8849/396,3363/7299 is 1/321156.
To find the highest common factor of 8849,3363, we have to find the factors of both numbers and list the highest common factor.
The factors of 8849 are 1, 8849
The factors of 3363 are 1, 3, 19, 57, 59, 177, 1121, 3363
The HCF of 8849,3363 is 1.
Lets's calculate GCF of 8849,3363
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8849
:1,8849
Now, list down the factors of 3363
:1,3,19,57,59,177,1121,3363
Greatest Common Factor
We found the factors 8849,3363 . The biggest common factor number is the GCF number.
So the greatest common factor 8849,3363 is 1.
Lets's calculate LCM of 396,7299
3 | 396, 7299 |
3 | 132, 2433 |
44, 811 |
∴ So the LCM of the given numbers is 3 x 3 x 44 x 811 = 321156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321156
Therefore, the GCF of Fractions 8849/396,3363/7299 is 1/321156
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 396,7299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,7299) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(396,7299) x common factors =9 x 1 = 9
LCM(396,7299) = ( 396 × 7299 ) / 9
LCM(396,7299) = 2890404 / 9
LCM(396,7299) = 321156
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8849,3363?
The HCF of 8849,3363 is 1
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 8849/396, 3363/7299?
Answer: GCF of Numerators as per given numbers 8849/396, 3363/7299 is
GCF of Numerators i.e. for 8849,3363 is 1
LCM of denominators i.e. for 396,7299 is 321156.
Thus, GCF of Fractions is 1/321156.Finally, GCF of Fractions for 8849/396, 3363/7299 is 1/321156.